{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "07968f89-22a1-49b5-b016-aa1c89a26d30",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hmw+czDtmNmlc06sNj4/uj9VS9LedPcfP8tm81azacRgpwaQJBndqxn0je1GvWqTXa3VdkpGVjTXAjMVk8nvNdFs2f6zbzfp9J5BS0r5RLUb2aEV4SGCR70OhUJQ8Qkopy9uIkiQlJYWIiAiSk5NV6wOFooyJT0lnzGvfk5SWiVN3fWvRhKBPm4a8d99VRSptvuXgSf7z/gx0XXeZ26QJgq0BfP3UGBrWiC5wXWqGjW8Wb2TGym0kp9swaYJBHZsyflg3mtWp6nXNHUfO8OBHs0jJsJHf5ECLhXfvHUn3lvULfR+XOlJK1u89zorth8i2O2lWpwrDu7UkJDCgvE1TlDPFfX4rQaNQKEqMj2av4pvFG9B1z28rX04YTaemheukK6Xk6uencSo+Bd3NW5ZJE3RsUocvHrve5Xhyuo073v6ZY7FJLteZNIGmaXz60HV0bubeloSUDK55cRoZNrvbNS0mjd9eGEvdqpGFupdLmbjkdB75dDa7j53FpGkIAU6nTmCAhdfGD2dA+8blbaKiHCnu81sFBSsUihJj9j87vIoZkyb4/d/dhZ530/6TnIhLdissAJy6ZMO+4xw/l+Ry/KPZqzh+NqnAdU5d4nTq/HfqfOxOp9s5Z/2zg3QPYgbA7tS59/3f2HLwpNvzClecus6DH89i34lzed87nDoSsGXbefKLeew8cqZ8jVRUapSgUSgUJYKUkqS0TK9jnLokLiW90HMfjk3wa9zR2MS8/0+3ZfP7v7sKbH3loktJfEoGK7Ydcnt++baD+HJgn05I5a53fmXplgN+2XchUkoys+xeReDFwuqdR9h34pzbn0fuka8XbShboxQXFSooWKFQlAhCCKLDg4lPyfA4xqQJqkWGFnruEKt/8RX54zBOnEsi2+He+5KLWdM4cDKOQR2bFjiXZXf4taaUkue++ZPFLf9DkNXi1zWJaZl8s2g9s1btIDUziwCzieHdWnDH0G4+g5srK39vOYBJEx4FplOXLN16AF2XaFrhY6wUCuWhUSgUJca1vdt6fRg5dcnInq0KPW+fNg2wmL1nJkWHBdO2Yc287/3JptKlxBrgflzrBjUw+fFglUCGzc6ijft8jgU4l5zGrZN+5Pu/NpGamQVAtsPJ7//u4ubXv2fP8bN+zVPZyMyy4ytiU9elxy1AhcIXStAoFIoS46bLOlItItStEBAChnRuRrt8osNfwoIDuXVQJ69j/nNFD8ym829p9atHUadqBN4kiS4l/du5D0Qd3a+dR2/ChZhNGodOx3sdY3c4WbRxL7e/+ROnE1IKbDM5dYnN7mDilwt8bnVVRhrVjPE5pnpUaLHS+hWXNkrQKBSKEiMqNIivnxpDj5b1XYSE1WLmtsGdeeWOYUVK2Qa4/6pejBnQASGMFHCzSUMTApMmeOCq3lzfr53LeCEE94zogSdpoAlB/3aN3KZ6A7SsV52Hr+njl21SSgI9eHoAYhNTufHV7/jvlwuITUzzOE7XJUfPJrJp/8UXaHxN7zZ4U5dCCG4c0KHM7FFcfKi0bYVCUSqcik9mz/FzWEwaHZvULrGKvqfiU1i4YQ8JqZlUjwpjRNcWRId7rkI8beE6Pp7zjyGkpPHgdOo63VrU5Z3/XOWz/smqHYf575fzyciyex3309O30LxutQLHdV0y5vXvOXw63i+PjxDw5OgBjBnY0efYysavy7cy6ee/0YRwyR7ThKBdo5p89sgo5aG5hCnu81v95igUilKhVkwEtWIiSmHecO4Y2s3v8XcM7cbQLi2Yu2YnJ84lERYcyJDOzejQuJZf3qI+bRry+p0jePTTOW7Pa5qgR4v6bsUMwNo9xzhwMs5ve6WEgIv0oT66f3tqxoQz9c91bD14CoDosCBG92vP2CFdlZhRFAv126NQKC56asWEc++VPYt8fb+2jXjm5kG8OX0pTl1iEgKJUUula7O6vHHXCI/XrtpxCJOm4dR1v9bKrah8sdKnTUP6tGlIamYW2XYHkaFBmDQV/aAoPkrQKBSKS5Z0WzYnziURYDFTv1qU1wytUX3bcVmHJvy+djdHYhMIsQYwuFMz2jas4dXTY3foXgOT86MJwRXdWxYptb2yERZkBdVYVFGCKEGjUCguOVLSbXw0ZxXz1uzKq1VTKyacu0Z05+qerT0KlKiwYG4b3LlQa7WoVw3HSv+8M33bNmTiTYMKNb9CoTBQgkahUFxSpGZmccfb0zl2NtElSPd0fAovf7eY2IRU/lOM7akLGdalOe/OWEFmVrbHOixtG9bkidH9adPAu7dHUZDkdBtnk9KICAm8JDxbCs8oQaNQKC4pvl+ykaOxiQV6NOV+98X8f7mie0vqlFDTyeDAACbffQWPfToHXco8EZUrW7q1qMeHD1yTVzgwM9vOpv0nsWXZaVQrxmNaeWXndEIKv63Yxj87j+DUdTo1qc3ofu1pUruKX9cfO5vER7NX5VUXBujQuBYPXN2bzoVsfqq4OFBp2wqF4pJBSsngpz4n0UvPKZMmGDekKw9c3btE19534hzfLdnIkk37yXY4qFctihsHdGBUn7ZYzCZ0XfLVwnV8s2gD6bbsvOvaN67FC7deToOLSNj8s/MIj0+Zi8Op5wlLkybQdcnTNw9iVN92Xq8/GpvI7ZN/IsOW7eJl04QAAe/dexV92zYq1XtQlDzFfX4rQaNQKC4ZMrPt9H7kY69jNCEY3Kkpb9x1RanZIaUssLX0zm/L+eGvTQXGmjRBSGAAP0y8hdpVSj4Nvqw5l5TGyOe+wu50ut2CE8DXT41xaWNxIQ99PIt/dx91W9dHCKPA4x+T7sZi8t4uQ1GxKO7zW+XKKRSKSwar2YzF5P1tTwhBeHBgqdpxoZg5fi6JH92IGTBaIqTbsvnyj7WlalNZMWPVdhxO3WM8kaYJfvzb/WsBRtXl1TuPeCxSKCUkpGayeseRErBWUZlQgkahUFwyaJpgSJfmXptOOnWdoV2al6FV8Pu/u3w29Vywbg8JKensPhbL4TMJlbbf09o9xwrEL+XHqUvW7j7m8fyJuGSP7Sxy0TTBsXNJed9n2x0sXL+Xj2av4ssFa9lfiEKHisqDCgpWKBSXFHcM7cqSTfuQUi/wYNU0QacmtenUtHaZ2hSXnI6x2eL5UW13OBn+9JfYnUYKeL1qkdw1ojtXdi989/LyxB8h5m1EmB+1a3RdEprT0mLNrqM8/dUCktNtmE0aUko+nbfaqAA9fniJteRQlD/KQ6NQKC4pGtWM4dOHR+X1fzJrRpNLMKrYvnvvVWWeOh0THoL3x7hBrpgBOH42iee/XsjXi9aXomUlT+emdfJeb3eYNOE1S6lp7So+u6ibTRoDOjRh97FYHvl0NikZNgAcTj1vq2r1riM8/vm8SuvpUhRECRqFQnHJ0bFJbRa8dhfv3nsVd43ozoPX9Oa352/n/fuuLpdP7Fd0b+lX48r85I7+ePY/nE3y3MG7ojGqbzs0ITwKEqcuuekyz405hTC6q3t6tQRw08CORIUGMfXPdUgp3cbr6Lpk/d7jbD10qrC3oKigqC0nhUJxSWI2aQxo35gB7RsX6rpjZ5P4dcXWnMBUnc7N6nBj/w40q1O1yLbUrx7F9X3b8dvKbUW6fu6andw1vHuR1y8JpJQcP5dEZpadWlUiPG4N1YoJ5/U7hzNx6gKAPCFn0gROXfLodX191pEZ2qU5aZlZvP3rcrLtDkwmLa8WzY0D2vPwtX2wO5ws23ow77g7TJrGog376NC4bLcYFaVDqQqaFStW8NZbb7Fx40ZOnz7NrFmzuOaaazyOX7ZsGQMHDixwfPfu3bRo0aIULVUoFArfLNt6kKf+9zsyX4G8k3HJzF61g4k3Xcb1/doXee7/GzOQiJBAvv9rE1l2h9/XCWFkSZUnizbuZcrvazhyJhEAi0ljWNcWPHxtn5ztNFcGd2pGo5oxTF+2hVU7DGHYsUltxgzsQPtGtfxac1Tfdgzt0pxFG/dxKj6FyJBALu/cjOpRYQBk2GxexYyBJC0zq1D3qqi4lKqgSU9Pp3379txxxx2MGjXK7+v27t3rkoNetWrRP/koFApFSXA6IYWn/vc7Tqfust2RK2wm/fQ3LepVp02DGkWa36RpPHB1b8YO6cLaPcewZTuoWzWC8e/84uPBXPpp5t6YvmwLb05f6rKFZHfqLFi3mw37TvDd/92UF6+Un0Y1Y4rdtyo0yMp1fdq6PRcSaCUiJJDkdJvH66WEetWjimWDouJQqoJm+PDhDB8+vNDXVatWjcjIyJI3SKFQXFJkZtlZse0Q8anpVIsMpW/bRlgtRXvbm7FyO7ouPcZuaJrgp78389r4wr/n5Sc0yMqgjk3zvh/YvgnLth7wGGNTHmnmuSSmZvDOr8uBgiHNTl1yNimVL/9Yy1M3FvS8lzaaJhjVtx1fL1zvNU38qp6ty9AqRWlSIWNoOnbsiM1mo1WrVjz77LNut6FyycrKIivrvMswJSWlLExUKBQVnJ+XbeGj2avIzLKjCYEuJaFBVh6/vj9X9yr8Q2ydP/VT9niun1JU7hzejRXbDiIFBdPMhaBHq/q0rl+9xNf1h/lrd/t8Teas3smj1/UloIhCsjiMHdKFpVsOcPRsoouXSwjDO/PodX1VQ8uLiAqV5VSzZk2++OILZsyYwcyZM2nevDmDBg1ixYoVHq+ZNGkSEREReV9169YtQ4sVCkV5I6Vky8GT/Lp8K/PW7CQhJYNfl29l8vSlZGbZgfNCIC0zi5e+W8Qf6/aUmi0lTYu61fj4oeuIDA0CjK2p3LTngR0a89bdV5Zbh+7j55K8FgQEo91Ekpdtn9IkLMjKtCdu5Pq+7QgMOC+oGtaIZtKdI7h1cOdysUtROpRZLychhM+gYHeMHDkSIQRz5851e96dh6Zu3bqql5NCcQmw+1gsz0z7Iy8YFYxsGU0Il5otF1ItMpT5r92JSfP/M91Hs1fxzeINHuNZTJpgcKdmTLpzhP83UAjsTicrtx/m4Kk4AgMs9G/XiHrVyjf+46PZq/h28QavKecCWP7u/eVewC4zy87phBQCA8zUjA4vNxGo8MxF38upR48e7N+/3+N5q9VKeHi4y5dCobj4ORqbyN3v/sqx2CSX405dehUzAGeT0th6sHD1R0b1bYeGj/opAz3XTykuFpOJyzo04e4RPbhtcOdyFzMAQzo38ypmNE3Qq3WDchczAEFWC41qxlArJkKJmYuUChlDk5/NmzdTs6bnrqsKheLiRc+JS1myaR9pmVnUqxbFNb3bULtKBFP/WEuW3eE1hsMbhd0GqRUTzqS7RjDxywVIpEv9FF2XPHXjQNo1Krn3qq0HT/HT0s1s3H8CgaBnq/qMGdiBlvXKJ17GHc3rVuOyDk2Mei8X/ByEAIHg7hE9ysk6xaVGqQqatLQ0Dhw4kPf94cOH2bJlC9HR0dSrV4+JEydy8uRJvv32WwDef/99GjRoQOvWrcnOzub7779nxowZzJgxozTNVCgUFZCUdBsPfzKbbYdPG6JBSoQQfPXnOu4d2ZOFG/YWurpufmpGhxX6mkEdm/Lr87fzy/It/JPT8blL0zrcMKB9iQqNH/7axDu/Lc8rNgewYN1ufl+7ixduG1KozBwpJWeT0rA7nFSPCsNiNpWYnQCv3jGcl75bxMINe9GEsd3n0HXCgwN5ddywEhV5pcmxs0n8snwLq3YcxuHUad+oFjcO6FBp7FeUcgyNp0J5Y8eO5euvv2bcuHEcOXKEZcuWATB58mS++OILTp48SVBQEK1bt2bixImMGOH/nnRx9+AUCkXF4L4PZrB+33E/iqMVDiGgcc0Ypj97W4Xceth++DRjJ//s8bwmBL8+fzsNa0T7nOvP9XuY+sc6Dp6OByAs2Mrofu25c3g3ggIsJWYzGIJg2dYDZGTZaVQzmoHtm5S4eAJDoG3cf4K/Nx8gM9tOo5oxXNmjFVE5QdNFYeX2Qzzx+Tx0KQtULn742j6MG9K1pMxXeKG4z+8yCwouK5SgUSgqP7uPxXLLpB9LfN5cD8Jnj47yWV6/vHjmqz9YtNGz98mkCUb3a++ztsvUP9bxydx/8lKUc9GEoG3DGkx59Poi1+QpL5LSMnn0szlsO3Q6J6BbokvjNXn2lsFFqilzLjmNkc9+hd3h9Fhj6PNHr6drc5VBW9pc9EHBCoXi0mPl9sOYfKQD+0P9C6rAtqhXjc8fu77CihmAjftPeN1Kc+qGh8Ibx84m8sncfwAKNGbUpWTb4dP8unxrsW0tS6SUTJgyl51HzgBGQUGnLpFS4nDqvPjtItbsOlroeWf/swPHBdWf82PSBD/8takYlivKisolzxUKxSVBtsOZsx1UdAfy7Zd35pFr+3LodDxxKRlUiwz1a5umOJxLSuPQ6XisAWZaN6iBxVT4LRfNj20wX7VfZv2zwyX+5kKkhGmL1vP3lgPsOX4Wi8nEgPaNuWVQp2I12SxNthw8xRYvmWmaEHz5x1p6tqpfqHnX7z3uszigLwGpqBgoQaNQKCoczepUweEj9doTESGBjB/WjVsHdUIIQeNaVWjsX7/DIhObmMqb05eyfNvBPI9IVGgQdwzrxi2XdSxUrE7P1vWZu3qnRzGiCUGvVg28znE0NtFnwHRiaibJaTZ0KbHhYMG63SxYt5vJd1/JwA5N/La3rFi29SAmTcOpu/+90KVk84GTpGbYCCtEb6uKGEelKBpqy0mhUFQ4BrZvklcZ1180YaQ2L3rjHm4b3LnMHlTxKemMnfwzK7cfctneSUzL5N3flvPBrJWFmm/MgI4e/VICYwtkVN92XucItlr82rLL75lw6hJdl0ycuoDE1IxCWFw22LLt+PMjtRWiUzlA1+Z1vXrFTJpQ8TOVBCVoFApFhcNiNvHquGGFu0hAmwY1SiWzxhvTFq4nPiXdo0fk28UbOX4uye/5mtauwqvjhqFpwkWUaEJgNpt4+z8jqRkdxsm4ZA6eiiPDll1gjsGdvBe884TEqEg8Z83OQl9b2jSuVQWnD69deLCVqNCCnb29cW3vNljMJo9iyalLbhnUqVBzKsoHteWkUCgqJEnpmYUaL3VJ9cgwfv93F3WrRdKuYc1Ce2l0XXIkNoEsu4O6VSN9Vrh16jqz/9nhVTyYNMHc1Tt54OreftsxrGsLWtWvwYyV29iw7zhCCHq0rM+ovm3ZcfgMN7zyXV4qttVi4soerXjgqt55Xq0+bRrSrE5VDp6KK5KwyQ28rUgM79aC92esIMvucOvB0oTg+n7tMZsK9zk9JjyEd+4dyYTP5uLQ9bwyAbkxSI9f379CB5ErzqMEjUJxkbB3w0G2r9gFQIeBbWjSsWE5W1Q8FqzdTWHCgk0mjVd/XJL3fcMa0Tx/6+W09zOAZs7qnXz5x1pOxiUDhpfoiu4tefiaPh63vzKy7GTkNMD0xumEFL9syE+9apE8Nqqfy7Gfl25m8i/LXLwJWXYns//Zwfq9x/nmqZuICAnEbNL49KHreGzKXLbnFCYUQvgVlyQQXntcZdkd/LV5P0fOJBJstTCwQ5MC2WSlQViQlZfGDmXi1AVoAhehpglB8zpVGT+0aPVierVqwMwXx/Lbim2s3H4Yh67ToVGtEi+YqChdVB0ahaKSc/bYOV4e/S571x/Iy37RdUnrXs15dvpjVKkdU84WFo1bJv3A7mNnfY6zmDS3vZs0ITCZNL5+8kafD6UvF6zl03mrCxw3aYI6VSP59qkxbgNNHU6d3o985LV3lEkTjBnYkcev7+/zXsDoM/Xr8q38tXk/tmwHLepV48b+7WlUM4YRz3zpOVhYE9w6qBOPXndeBEkp2XboNCt3HMbucNKibjXm/buT9XuPe/XcvHi7+2rEy7cd5PmvF5KamYXZpKHrEl1KhnRuxou3D3XpaF1abD5wkql/rGXNrqNIIDI0iNH92jH28i4EBwaU+vqK0qO4z2/loVEoKjHpyelM6P8CcSeN7Yf8VXX3rNvP4wNeYMrmtwgqRhXV8qJu1Uj2nTjn9cEbYDbhcDrdntOlBF3nkzn/8PFD13mc41R8Mp/9XlDMgOEFOH42iW8Wb+RBN1tGZpPGsK4tWLBut0c7nbpkRLcWHtfPz9ZDp3jgw5nY7I68n+W55DSWbT1I+0Y1vVZN1nXJzJXbefDqPnnbLkII2jeu5eKligkP5t/dx9zOoWmCqNAghnRuXuDc5gMneXzKPHI/A+f39izZtB+nrvPWPSP9us/i0LFJbT5+6Doys+1kZTsIDw70mcauuDRQQcEKRSVm4bRlnD0Wh9NR0EPgdOicOhTLku9WlINlxefaPm19xn/0bdsI6bH/tfGQX7PrKPEp6R7HzFm902usjS4lM1Zuw5Mze/ywblgtZreZMkIIBndq6te2RWaWnUc+mY0t2+EiXHJfg62HTuMrzSfNlk1qhvemm91a1GPimMsQgrygY5HzFREcyKcPj3Lrafl8/r+A+y1AXUr+2nyA/SfjvK5dkgQFWIgMDVJiRpGH8tAoFJWYxd8t9/igBeMhtfi7FYy8b2jZGVVCdGtel6FdmrNow94CD1FNCNo2qkmdqhGYNIHD6fk1kEBCaiYx4SGAIXJW7zrC3NU7OZ2YSlxSmtfXECA53UZmlt3tlkb96lF88dhonpn2B0djE/PifjRNcE2v1jx1g/cWBbn8uX4PKRlZXsf4slMICLT67tE0un97uresz4yV29h9LBarxUy/to0Y0b0lIW7uMSXdxro97r06uZg0weKN+2hau4rP9RWK0kAJGoWiEpMcl+r1vJSQfK7wAakVASEEr4wbRsMa0fz496a8h31ggJlre7fhwav7MHfNTo+F1s7PA1XCjVTeLLuDx6fMZfWuo14r6V6IWdMI8NL3qFX96sx8YSybD5xk/8k4rAFm+rRuSJWIED/v1tjSKYxNF2LSBH3aNPS76aS7oGNPpLlJDb8QIQRpmd4FmUJRmihBo1BUYmo1qU78yXiPsRWaSaNWkxplbFVB0jKz2H74DLqu06JetTxviS/MJo17rujBuCFd2H/SSEFuUismz1MypEtz3vltucfsHZMm6NW6AVFhhqB5b8YK1uTEj/grHEya4PLOzXymAwsh6NS0Dp2KmOLrb4q5u8wv41LBXcO7F2ltX8SEB2O1mMnyUrTOqevUrRpZKusrFP6gBI1CUYm54u7L2brUcxE03alzxT2Dy9AiV+wOJx/OXsVvK7blPQxzBcITowew88iZvP483ZrXpVuLem4f7AEWozfShUSFBnHfyJ58NPufAuc0IbCYTDxwlRHMm5JuY9aq7T63bS6cw6Rp3FHEdGBPZNsdHD+XhBCCetWiMJs0OjWtw7x/d3m1pWmdKtSMDmfZ1oNomtE53OHUCQuy8todw92+RiWB1WLmqp6tmblqm0chaNY0RnRvWSrrKxT+oASNQlGJ6Xd9DxZOa8emv7YjL3jQCE3QdXhHel7VpVxs03XJk1/8zsodri0BnLpk0YZ9LNm0H4dTx2zSjGaJC9fTsEY0799/daE+6Y8b0pWgAAufz/+X5PTzAbHN61TlmVsG5zVb3HzwpNf06lyEAE0YPYOiw4OZdOcImhQzLiQ53cb8tbvYe/wch07Hc/hMQl79mpjwYG4b3Jnr+7bjg1krSU63uRVdupSMG9KVoV2ac+h0PEu3HMSWbadJrSoM7NDY65YYQIYtm8Wb9nMyLpnwkEAu79SU6lFhft/Df67owT87DxObmOoiaoQwtjafunEgESH+91BSKEoaVYdGoajkZNuy+eb56cybsojMNOOBHhwexFX3D+P2F0dj8TOmoqRZvesID340q1DXmDRBlYgQfn3udp9Vei/E7nCyaf8J0jKzqVstkmZ1qnIuOY2ZK7ezZNN+EtMySfCjR9HQLs1pVDOaprWr0qdNw0JXnr2QP9bt4aXvFpHtcJ9enkvX5nU5dDqe+BRXG4UQSCkZN6QLD13Tp0g9quas3smb0//Glu3Iqx8DRnDw49f39/se41PS+Xj2PyxYtztPHDapXYX7ruxZIRtaKioXxX1+K0GjUFwk2DKyOLTtKEIIGrWrh7WQgqCk+b8v5/P35v2FDnIVwJM3DmTMgA7FWn/HkTPc98EMMrPsLk0YfTH7pXHUq1YylW837DvOf97/jeK+yzaoHsUPE28hyEMGk1PXOZeUnicI84uevzbv58kvfnd7nQBuvqwjj48eUCh70jKzOJ2QSrDVQq2YcNWxWlEiqMJ6CoUCgMBgK616NCtvM/I4HZ9S5Iydhev3FkvQZGbbefjjWYUSM7ldlUtKzABM/WNdnoelOByJTWTiVwt4/76rXY47nDo//LWJH//exLlko9ZO3aqRjB3ShWt7twHgk7n/eGwhIYGfl21h3NCueYHaDqfO8m0HWZVbXbhedUb2aOWynRQaZKVpbUMwHz+XxIK1u0lIzaBqZChXdG9JzWj1YVJR9ihBo1AoSoWY8BA0IQrlHQHjIZtazPTfRRv2kZTuvcBcfoQQ1IgK46XbS65eT2a2nbU+arcUhhXbDnHgZFxePI9T1/nv1Pks3XzARaycOJfEqz8s4eCpOEb1bceRM4le59V1ydItB7i+X3tOxiVz/4czOX4uKa/o3h/r9/Dx7FW8fucILsu3reTUdd7+ZRnTl2/NC1DWpeSzeasZN6QrD17dW3luFGWKEjQKhaJUGNmzFcu3HSz0dSZN0KhmNKcTUvjhr03MX7ub9MxsasaEcX2/9lzfr53PWiubDpzwq6ZLSGAAMeHBXNOrDaP6tnXbr6moZGV7TnEuCpoQ/LV5f56gWbJxP39vPlBgXO4d/7R0Cw1r+O7jpWmCtMxssu0O7v1gBmdyGmnmf+3sDif/97/f+eapm2hV36h6PGXeGqYv3woYokjPJ6umLVxPREggt19ePgHpiksT1fpAoVCUCv3aNqJ9o5qFLk3v1CXdW9Tjxle/Z/qyLSSn23DoOsfPJfP+zBXc+fYvJVbAbdGb9zD7pTsYN7RriYoZgPDgQKJKsIeWEJCer8Ddryu2um23kItJE6zdc9RXtwScuqRu1Uj+3nKAk3HJbkVg7pHvlmwADA/a939t9Drv1D/Wke2lbo1CUdIoQaNQKEoFs0njowevZVDHpgUeqt7Se6/q2YpvF28gIyu7wMNVSth38hwfzV7lde1OTep49c5oQtC8TlW/q+oWBU0TjO7f3qvoKAxOXdKwRnTe94fOJHjdznPqkhPnkunbplHe9tGFCIyfRb92jYzaNl5sdeqSpVsMj9u/u46SZfeetZWamcXmAye9jlEoShK15aRQKEqN0CArb951BacT+rJh73GcuqRtwxrUrx7Nt4s38OPfm/NSqatHhXLb4M40qhHD3DWeC8zpumTump08fG1ft32HAIZ0acYHM1eQkpHl9qGvS8ltl3cu9v1lZttZveMISemZ1IqJoFuLupi0858Txw7pwj87D7P76NlCxxJdSGCAmaFdznfBDrZaSErL9DheACFBAUy4vj9bDp4k3eYqEHPFy/O3Xo7FbCLL7vBpo93hREpJZrbdL5tza+0oFGWBEjQKhaLUqRkdzsierV2OjR/Wjdsv78LphBQEUCsmAk0TTFu4zmf8S5bdyeEzCbTxUBk3KMDChw9eWyBtO3feWwd1YnjXFkW+HyklP/69mc/mrXZ5aFeLDOXpmwfRr22jPDu+eHQ03yzewK/Lt5KYI0Ba1K3KsbNJfj3wc50mL9w6xKU55tAuzflm0QaPIkQCQzs3p161SL777818OGsVS7ceyKtBUyUihGZ1qnAkNoEjZxJoWrsqK7cf9jifENCoRoxRFqCm79gcwMWjpFCUNqoOjaJUybZls+K3f9m4eCtOh5MWXZty+dj+hEWFlrdpigrK90s28v7MlT69BT89fQvN61bzOia3sN5fm/djy3bQol41RvdrT5dmdYqVgfPdko28N2NFgeMCI2Pq44eupUfL+i7ndF2SnGEj0GImyGrh07mr+erPdT7vs1OT2tx9RQ+6t6jncjw2MZXRL39LhpvUdJMmqBIewm8vjHXxYu05fpaJXy7g6NmCmU+NakRzODbBa82cp28exPV92yGl5MZXv+fQ6Xi39ps0QbtGtZj6+A1e702hyI8qrHcBStBUHI7uOs7/DXmF+FOJaCYNpERKCAiy8Nz0CXS/ovguf8XFx8FTcYx+5TuvY2LCg/nj9bvzqt7anU4CzCaPIsXudGLWtBJJI063ZTP4qc+9NmpsWrsKPz9zq9f1ziWlMerlb8mwZRcQBZqAiNAgvn5yjNc2ELuOxvLoZ3OIS07PayHh1HXqV4/iwweucbk23ZbNDa98S2ximkcRZRICp5Ru69ZUjQjhfxNuoF41Y87dx2K5651fyXY4XLxpJk0QHBjA10+OUR4aRaFQguYClKCpGGSkZjKu2UMkx6WiX9A/RwgwmU18tuktGrSuW04WKioyD340k3/3HPPYRXzCqH70at2AbxZtYOGGvWQ7nESHBTGqbztuG9yZ0CArmdl2fl66mV+WbyU2MQ2LSWNwp2aMHdIlr79TLk5dZ+O+E5xJTCUqNIjuLep57I00f+1unvv6T5/38Mtzt9GklvceULuPxfLIp+cFCRIcuk6dqhF89MC11K/uu8if3elk+daDbDl4CpOm0a1FPXq2rF8gu2z6si1Mnr7UbYG9XISAGtHhnI5PKXDOpAnCggP57v9uonaVCAAOnY7nfwv+ZckmoyK02aQxrGtz7hnRgzqq87aikChBcwFK0FQM5k1ZxIcP/M99eVLAZNYYMnYAE/53X9kapqgUpKTbeODjmew8EoumCXRd5sW/3NC/PcO6NOe+D2ficDoLBLo2qBHFxw9ey5Nf/M7uY67BuKacAnAfPnAN3XO2hFZuP8TrP/1FbGJa3riIkEAeuqYP1/VpCxgxM6t2HObnZVvYfOAkNj9qzPRr25D37rvap1coV5BsPnAKLadace/WDVyCi0uCcW/9zLZDp4s1h0kTDGjfhLfuudLleGaWnZQMGxEhQQQGqNBMRdFQguYClKCpGDw94jU2LNzidT8+LDqUmXHTys4oRaXCqeus2n6YPzfsJSktk7pVI7m2Txua1anKFc9MJS453WP8RuNaMRw46T6+QwgIC7Ky8I172Lj/BA9/PBsppVvt/fRNlzGqbzve+mUZPy/b4lexvvz8b8JoOjetU5jbLjWue/FrjsR6rxrsD5oQLH7zHqLCgkvAKoXiPKqXk6JCkpWZ7bMhn12ldCq8YNI0+rdvTP/2jV2OL992kLNJaR6uMuql7DsR5/G8lJCSkcWSTfuYtnA9EvdiBuDDWasIDLDw87IteXP7b79g5srtFUbQNKgRzbGzScVOH9el5FR8ihI0igqHKqynKBWadmxoBAJ7QDNpNG7foOwMUlw07D8R57FQnL+YTRr/7j7GodPes3rSbNn8b8HaIhXHc+qSw2cSimFlyTKqb7tii5lcQsu5k7tC4Y5SFTQrVqxg5MiR1KpVCyEEs2fP9nnN8uXL6dy5M4GBgTRq1IgpU6aUpomKUuKK/1yOrusez+tOnWseGl6GFikuFixmk0/vny+klDidnn8/83P8XNG8GkJUrAd/r1b1Gda1uc9x3rSbENCkVkxeppNCUZEoVUGTnp5O+/bt+fjjj/0af/jwYUaMGEHfvn3ZvHkzTz/9NA8//DAzZswoTTMVpUDd5rW5791xAC6emtwAycG39qPf6J7lYZqiktO3bUOfAsPsxTsIhvekX7vGXsfkUtRUbynxS0CUFUIIXhk3jIeu6U2QtWDLh+iwIN677yqu79sOT3csJdx/leqiraiYlGoMzfDhwxk+3P9P4VOmTKFevXq8//77ALRs2ZINGzbw9ttvM2rUqFKyUlFaXPfIFdRtXotf3p7L1qU7kBLqt67DdY9cwdA7BqKVcBaH4tKgUc0Y+rVrxCovVW2v6tmamau2uz1n0gTtGtZkaJdmfDxnFafcpCjnEh5spUXdamzcf6LQ8TM1osL8qkaclpnFtsOn0XVJy3rViAkP8XudC8mwZfP72t0s3LCXlAwbjWvGMKpvu7xCgiZN446h3bhtcBf2HD/Lxn3HsZhM1KseRY+W9TGbNHq0qMeyrQc5l5xeYP7LOzVjQL6YJiklmw+c5N/dx3DqOu0a1aRPm4YlnqGlUPhDhQoKXrNmDUOGDHE5NnToUKZOnYrdbsdiKfipIisri6ys8513U1I8vzkpyp6uwzrSdVhHnA4nuq5jKcVmgIqKi8Ops3rXEQ6eiiPQYqFfu0Z5tUyKwqvjhjFhylw27DuBSdPQpY4mjAyku0d0594rexq1XGavQgiBlDLvfPM6VXn73qvYfOAkZxJSva7zxOgBxISHsG7vcbfnDU+FUTAyf2G7RjVjeO++q916QnLJtjv4aM4//LZiW16RPpMmuLxzM/7vxsu8NvB0x8m4ZO5+71dic+5JYtSJWbRxH01rV+HlccNonlN/x2zSaNOghtvWEfd+MMOtmAFYvGkf3VbWZVTfdsQmpvLYZ3PZc/wsJk0ghMDh1KkRFca7911FCw9VnHVd8u+eoyxYu5uE1AxqRodzVa/WtGtYU3l+FMWiQgmaM2fOUL16dZdj1atXx+FwEBcXR82aNQtcM2nSJF566aWyMlFRRExmEyZM5W2GohzYuP8ET09dwLnkdEyaQJeSt39dxtCuzXn+1iFFqlsSGmTl80evZ+P+E/y5fi+pmVnUqRLBNb3b5FXHHTekK0M6N2PWqh0cPZtIsDWAyzs3yys699/5//pcp1X96jSqGcOE6/vz7m/LXdK2hQCLSaNHy3pYLRbCg61EhQXTvUU9OjWt7fXhrOuSJ7/4nVU7j5C/coZTlyzeuI8DJ+P45qmbvAqi/EgpefTTOZxLSnPJ2Mqdev/JOG567XuGd2vBi7cPwWJy/7e498RZtvqoVfPBrJWM6NaSe977jVPxyXl25xadOpucxj3v/cavz91G9agwl2szbNk8NmUu6/cez3stTZpg1j87uKJ7S164bYjP7UKFwhMVStBAwf3q3D92T28OEydOZMKECXnfp6SkULeuqj6r8I6UDsBzqXxFybDvxDnuzymAB65pz4s27MOW5eDd+64q0txCCLo0q0uXZp7/3mvFRPDA1b0LHE9Ky2S9B69LLiZNsGjjPu69sie3DupEjxb1+HXFNnYcOc25pDTiUjJwOJ38s/NI3r3d0L89HZt4FzMA/+45ysodh92ec+qSg6fjmfXPdm6+rJPXeXJZv/c4B0/H+xz3x7o9hAVZ+e+Yy9ye//x33yIvLTObrxet5/i5JLfndV2SkZXN9GVbePjavi7nXv1xCRv3nQDO/y7k/rtg7W5qxYRz38hePm1QKNxRoaRwjRo1OHPmjMuxs2fPYjabiYlx393VarUSHh7u8qVQuEPKbGT61+jnBiNjWyFj26AnPoK07yhv0y5avvxjLbquu81K0qVk2baD7DoaW+Z2pWVm+RwjhHAZ16R2FSbedBl92jQkLiUDAF0aD+Tch/Ivy7fy+fw1Puee/c8O76nnEmasdB8D5A7D4+Hf2/mMldtJyLH/QhJS3R+/kOXbDnrNhtJ1yR/r9rgci01MZeGGvV67g//492a/qjArFO6oUIKmZ8+eLF682OXYokWL6NKli9v4GYXCX6TMRibehUydBM7cT+Z2yFqEjL8BaVtarvZdjGTZHfy95YDXYFqTJli4YW8ZWmUQExGC1eJ9C9Sp6wUaQ2bYsvl64Qav132/ZBMZtmyvY84kpHp9XSR4LR54IXpOQ0l/cOpGPJM7alywReRxPV36TJ1Pz3J9DdbsPur7Gls2O44Urz2D4tKlVAVNWloaW7ZsYcuWLYCRlr1lyxaOHTsGGNtFt99+e974e++9l6NHjzJhwgR2797NV199xdSpU3niiSdK00zFpUD6VMhei/GoyP+u6gScyOTHkLr/DxCFbzKy7B6bS+YnOd1WBta4EhRg4coerbx6STQh6NGivsux7//ahD1n+8wTmdl21u/zvp0VEx7is1hfVFiQ1/P5ad+4Fg4vdZ8uxJbtvkr3vVf28HltdFgQLetV9/raCQH1q7k21nQ4vL9uudgd/t+HQpGfUhU0GzZsoGPHjnTs2BGACRMm0LFjR55//nkATp8+nSduABo2bMiCBQtYtmwZHTp04JVXXuHDDz9UKduKYiGljsz4Ho+dMpEgM8E2ryzNuugJC7IS7COoVUqoU4xsp+Jw75U9qRIR4nHrxKlLrn/lW5f074Xr97gffAG+tk2u7NHSZy2d7i3q8fu/u1i+9aDP+Xq3bkCtmHC/Kxo39tAFvEGNGPq0aeD12mdvuZzr+rb17mGScH2/9i7HWtUvmFF1IZoQNKvjvUO5QuGJUg0KHjBgAN56X3799dcFjvXv359NmzaVolWKSw6ZBPo5H4NMSPsuv932Ct+YTRrX9mnLz0s3e3z4SSQje7Yq0vznktI4l5xGdFgINaL92yrJT0x4CKP6tOXTeZ5jXpy6zqs/LCHQYqZqZAiH/Wzu2Lim+5i/XPq3a0z7RjXZfuRMAS+WJoz4nRkrt+fF0YQEBnDPFT24dVAntwHHJk3j/fuu5u73fvXq8dKEoG61SDo0ruVxzPv3XcNz3/zJn+v3uGwRBVstvHT70Lw6NDf2b8/05VsLXC8E9GhRnxHdXWvwtKpfnZb1qrHvxDm3vw8mTTC4U9Ni1eFRXNqobtuKix6ppyHP+soWMUPwTWjhz5WJTZcKiakZ3PbmT8Qmuo8ZeeCq3tw5vJvba1Mzs1ix7RDJ6ZnUiomgd+sGWMwm9hw/ywczV7J2z3nvbqcmtXno2j60b+T5QX0hTl3nimemFipWxR9iwoNZ/OZ/fI5Ly8zilR+WsGTTPhfhIHL+4+6d+f6RvbhrRHePc8anpDNt4Xp+XralgFAyaYIAs5n/TRhNq/rVPcxwngxbNvPW7CIhNYO2OQXz8iOl5JflW/l28QZO59S+iQgJ5Ib+7blreHcs5oIxSsfOJnLHW9NJzrC52KcJQd2qkXz1xA2q6eUlTHGf30rQKC4J9Pgbwb4V8Lw/L6KmIawFU3wVxSMuOZ33Zqxg0cZ9OHPiPGrGhHP3iO5c06tNgfFSSqb+uY6pf6wly+5EE0btmsjQIG4f3JnP56/B7tQLPBA1TfDpw9d5TePOz8FTcYx+5buSucl83DW8G/df5f/v0ZmEVNbvPYZTSmau3M6uY7EeY4/MJo1Fb9xDZKj3+JpzSWlM/XMdc9fsxJbtwKxpDOnSnDuHd6NhjehC3Y8vdF1yKj4Zpy6pVSXcY42bPNuS0/jp783MWbOTlHQbVSNDGdWnHTcMaE9YBep9pSh7lKC5ACVoFO6QtqXIJE+fmk1gboKImYMQFSrx76IiKS2T4+eSCAyw0LhmDJqHoNIvF6zl03mrCxw3avKe/7fAeQG1q0Qw56U7/KovtPf4WW56/YdC3YMvAswmFk/+T5EezOeS0hg68X9exwgB/73xMkb3b+91XC52p5O0zGxCrBYCLBWu7JhC4UJxn9/q3VtxSSACB0LocxiPw9yvnE+SpoaIqC+VmCllIkODaNuwJk1rV/EoZlIzbPzvj7Vuz8kL/i1wXsKJc8lsPnDSL3vqVY8iqIRacWhCIAQ8f9vlRfYyxPtRA8akacSluG9L4A6LyURUaJASM4pLAvVbrrjokc5TyPT/QeYsjMehFUy1wNwcETQSrAMRovL9KUjnGXAcAGEFS3uECChvk4rN0q0HsfuZ3uuJE3HJdGpaJ+97XZes2X2UpVsOkJltp1GNGK7q1YqqEaFc17ctP/61yaNI8peOTWpz14judG9Rr8hzxIT7jh1xOnWqRYYWeQ2F4mKm8r2LKxSFQDoOIONvApmGUXMGIAucR0FmQfgzlU7MSOcZZMqLkLWUPH+FiITQ/0Dw+ErdziEpLRNNE37Vr/FEfg9JQkoGD348K6eBopaXdTnl99X8d8xl3D+yF9sOnWL74TOepvPKxDGXMaRL80I3knRH1YhQerSsx7q9xz3H0JhNXN6pWbHXUiguRpSPXXHRIqVEJj1+gZjJRQc91hAGlQjpjEPGj4as5bhsvsgkZOqbyNQ3y822kqBmdHixxExIYAA9WhnF8KSUPPLpbPafNFL2nbqOLiW6NFoVvPbjX2zaf4IvHhvNE6P7UyMqzCVt35cuDAwwc0X3liUiZnJ5+Nq+WEyax3oyD1zVi/ASXC8/ui7ZcvAkS7ccYNfRWK8lNxSKikjl+miqUBQGx3Zw7PYywAlZfyOdZxAm30W/KgIy/QvQ4ygo0HLI+AoZfCPC3ND9+QpOv3aNCA2yeuy1JDykM+dy94jueXExG/efYKeXPlGaEEz9cx292zTk5ss65TWCzLY7yLI7+GvzAV7+frHH68cP60ZwoH/bfFsOnuTHvzezcd8JhIDuLepz82Udad3A9feuRd1qfDnhBl79YQl7T5yvnRQZGsR9V/YsEAzs1HUOnoony+6gfrWoIoudxRv38d6MFZxJTM071rBGNP8dcxldm6tmv4rKgcpyUly0yIzpyBTfdWVE1P8Q1v5lYFHxkFJHnu0M0ltQqAlC7kILe7zM7Cpp/li3h2em/VEgm0kTggCziRsGtGf6si1k252YTBpOp47ZpHH3FT24c1i3vC23t39dxvRlW/NSxT3xyDV9uPXyzm6bO/68dDMfzFp5fi1dRxMa44d15d4re/q1vff9ko28O2MFJk3k1eIx5WyrPXvLYK7t09btdXuPn+XEuWRCg610alLbpa6LlJJfV2zjqz/X5dXRsZg0hndrwaPX9fOZ1p2f3Nf7QoQwXvPPHhnldyq8QlEcivv8Vh4axcWL30GylaT2hczwIWYAJDgrd3O/4d1aEBhg5oNZKzl2NinvePvGtXjqhgE0r1uNO4d3569N+zmblEZMeDCDOzUrsPWTZXf43DYC+GD2KnYei2XSnSMKiJoxAztyRY9WLNm4j9ikNKLDgrm8U1OkhN3HzhIREkhtL60bth06zbszVgC4FBbM/f9Xf1xC+8a1aOSmsnDzutVoXrea23k/nvMP0xaudzlmd+rMX7ubrQdP8+3/jSEs2Le3xu5wMvkX941ZpQQdyVu/LOPnZ26t1LFZiksDJWgUFy8BfTDCxLx8QhehENCxrCwqHiIQCAC8dXIWoJVs4bTyYGCHJgxo35h9J86RlG6jVky4S+frsCAr1/QuWJQvP81qV8Xp9K/R4ZJN++nXbg9Xdi/YhiEsyJrnRTl2NpFXfljCim2H8noxtapfnQev7k2PlvULXDt92RYXz8yFaELwy/Kt/HfMZX7ZCXA0NrGAmMnFqUuOn0viuyWbuP+qXj7nWr3riNdWCVLC/pNx7D8ZR7M6Vf22UaEoD1RQsKLCIPUkZPpU9Phb0ONHo6e8inQcKPJ8wlQVgkbh7ddchNyJEJXDQyOEGQJHklc/xy1ORNDVZWVSqSKEoHndanRvUc9FzPjL8G4tsAaY/erPpQnB9KVbvI45GpvIbW/8xMrth1waS+4+FssDH83k7y0Ff1c37j/htYmjU5ds2n/CDwvPM2f1Dq+drnUp+W3lNr+Ces8m+tf2oaTbQygUpYESNIoKgbRvR54bjEydDPb1RpuCjB+QcVcg078t8rwi/HmwDsz5zoRLQb2gMRByX3FNL1NE6L05nhp3f7oaWIchLK3L2qwKSWiQlVfvGO7XVokuJftPxnkVAW//uoyMrOwCAkVKQMIr3y8uUEPHm/DIRXMTu+ONk3HJXgOjwUh/z7L7rucTE+FfI8gsu/du3wpFRUAJGkW5I/V0ZMKdOenV+d+pnYBEpr6KzPLcEdkbQlgRkZ8ioqdD0I1gHQLBtyFi5qJFvFzpqgMLc31E9A9gys1iyn1gmiBoNCLy7fIyrUJyWYcmfPXEjUT70fAw2+FkwpS52LILPrzPJaWxeucRL13DITndxopth1yO927d0Kuo0TRB79YNfNoG4HDq/LVpPzuPxrp4iNwRYDYR4KY55IV09TPYd8+xs36NUyjKExVDoyh/bHNBJnkZYEKmT0VYexZpeiEEBHRElGGsjNQTIHsdSCdY2iHMJZclIiytoMoCsG8Cx14gEKx9jS02RQHaNarJA1f14pUflvgcu3L7YSb99BcvjR3qcvxkfLLPasImTXA8Lsnl2JiBHZj5z3a34wVGK4NRfdv5tCsl3cb9H81k19FYnx4nkyYY3q2Fx/YS+fGnKrMmBPEpvtsyKBTlTeX6eKq4KJFZ/4DXSAcnZK+uFIW+pMxET3wCebY3MulhZPJjyLjB6An3IJ3nfE/gJ0IIREBnRPDNiODrlJjxwbCuLageGYqvZ7wuJfPX7iY2Xz0WgHA/MoZ0XRbo49SoZgyvjx+OSRMuAkMTAovZxDv/GUmtGN/pqc9+/Sd7jhteEm9/B0Zqu5mxl3fxOSdAWLDVJR3cHUJA1Uj/tqYUivJECRpFBcCf3j0VX8zottXIs30hay6u9yQheyUy4SaknurpckUpEmS18Plj1xMT7vvBrEvJqh2HXY41rBFNgxpRXmW3pmkMbN+kwPEhnZsz5+U7uH1wZ9o0qEHbhjW4c3g35rx8B33a+C6AeDQ2kVU7DvtVQbl6VChTHh1Fgxr+ZbpZzCZGdGvhdVvMqUuu7FEw+0uhqGioLSdFuSMsHZD5+xIVQANL2wpdB0PaFkLSw3i+Byc4j0PGzxB6d1mapsihXrUoXho7lPs/nOl1nBCC7AsCaoUQPHR1Hx7/fJ7H626+rCPRHhpM1oqJ4OFr+xbeaODf3Ud9VkgGmHB9P24e2Mmvrab83D2iO8u2HiQtM8ttjNDNl3UsUpaZQlHWKA/NJYSUDqRtIXri/ejx16MnPoLMWomU/tXq8Div8yR66gfoSY+hJz+PzFpTuO2h4NGABc/bTjoieFyxbCxNpMxEJk/EtxdJIjN+Rmb8gp70BHrSE8b3uq9ieYqSomntKh77JOUipaRpnSoFjg/s0ISXxw4l2Gq0VjBpWl413VsGdeLha/uUis1GpWPfIqVVveqFFjNgiK1pT9xI+0a1XI6HBAZw/1W9mDCq4lfRVihAeWguGaSehkwcD/YtnC82txOZ9QdYL4PIDxF+V9bNN2/aF8i0dzj/hqshM38GSxeImoLQfMcHCC0aIj9AJj2IIQpyPx2bjP8Pug0ChxfatjLDtjAnQ8sP9OPIlGcx7k0ibXMh9S2I+gIR0Lk0rVQAMeEhXNaxCUu3HHDrjdCEoE7VCDo3reP2+it7tGJQx6b8tXk/J+OSiQgJZFCnplSNCC01m9s0qOnzA4LFbKJp7YIizF8a1Ijmy8dv4MiZBA6ejifIaqFTkzoEBqhHhKLyoH5bLxFk8tNg35bzXa5HJkc4ZC1Fpr6DCJ9YuDkz5yHTctOEc99wc+a2b0YmPYaInurXXCLwMqgy16g5k7UEZLaxzRR8G1gHVuztJsdhjD+lwtTqyLelIdMNsVllYaVpklmZefKGAew8cobYpDSXuBSTJrBazLw+foTX37cgq6VMY0raNqxBszpVOXgqzq0IEwJGdGvhV6sDXzSoEe1X/I2Ukk37T7LrWCwWk0bPVg2oXz2q2OsrFMVBNae8BJDOU8hzA/G+JRKIqLYaofn3SVNKiYwbDs7DXucVMXMQlpaFsreyYXip3sVriwWfaBDyH7Swx0rKLIUXElMz+GbxBmau2kFaZhYBZhPDu7Zg3NCuFfLBfDQ2kbve+YXEtEyPNWha1avOvSN7+hVoXBwOnIzjqf/9zpHYRDQhkEikNDqlvzJuWIFML4XCX4r7/FaC5hJAZsxEpvzX5zgRNQ1h7e3fnI7jyLhBPkaZEKEPIkIf8GvOyop0HEHGDSn+RKaGaFUXFn8ehd9IKcnIshMYYHbbbbsiEZ+Szi/Lt/Lr8q0keem/9Nioftw2uHS2L88kpHLja9+RbssukHWlaYK2DWrw5eM3VPjXUlExKe7zW/3WXRL4kxYNhdsyyfJjjEBKf8Z5RzqOIW0LkbalSL3i9ZQR5gY5PZa8/Tn5EZ9UAq+VonAIIQgJDPD5AI5NTGXX0TMF6tMUhSNnEvhkzj+8/N1iPpu3muPnkvy6LiY8hOv7tSMt01tzUnhvxgoOnY4vtp3u+OHvTWS4ETNg1OHZeug0a3YdLZW1FQpfqBiaSwFLBz8GmcBciB5AptpAEJDpZZADYW7h/5wXIJ1nkMnPQPbKfEetyJDbEKGPIYSlyHOXNCLidSQSbL9zvmeUAzBD6ARw7AbbAjyLSxNYvHePVpQ9O4+c4YNZK9mw73wDyS7N6vDItX1p3aBw8U5OXeeNn/5mxqrtOXVfBCD5csFabh7Uiceu6+czS2n2Pztw6N63NgXw24ptPHXjQK/jisLv/+7y2mxT0wR/rNtT6tteCoU7lIfmEkBYmhpZRx67NJsgcATC5H+WhBBBEHy9lzk1EFEQOLiQ1hpIPQEZfyNkr77gTBakT0UmP1WhKgcLYUWLfBdR5Q9E6IMQfDsi/CVEtbVooXchgm/Gu6fMiQi+pazMVfjBloMnGf/OL2zaf9Ll+Kb9Jxn/9nS2HDzp4Ur3fDp3NTNXGW0QnLrEqes4dYkEfvhrE9MWrvc5x9o9x3yOkcCuY7GFss1fUjO9exF1XZKY5u1DjkJReihBc4kgIt8BrRquP/KcT4nmxkZX6sLOGfoomBtT8NfIBJgRke8XKRUcQKZ/DfpZ3IsACbb5+bK2SgbpPI1Mm4Ke8hIy7ROkw/fD40KEuTEi9AG08P8igm9CaGHG8YDOEHJvzqj8r1fO/wePL3KvKkXJI6Xk1R+W4HTqBYJwdSlx6sZ5f0V1amYWP/y1yWtY/teL1rttjOlql1/LEWgpHed7jagwr+c1IahTJaJU1lYofKEEzSWCMNVEVJmDCH0ETHVBhICpESLsaUT0Lwit8G9CQgtDRP8MIfeDFpNz1AyBwxExvxXvAZ35K949GiZk5oyiz58PKSV66rvIcwOQae9DxnRk2kfIuMvRk19xW3hQZq9DT7wX/Uwb9DOt0ONvMuJ8vPXZCZuAiPwQLG3PHzS3QkS8iwj7vxK5F0XJsPNoLIdOJ3jMKNKl5NDpBHYe9c8Tsm73MbJ9NIJMt2Wz6cAJr2O6NHNfH+dCBnQo2IKhJLi+n/dGmrqU1K0WWSprKxS+UDE0lxBCi4TQ+xCh95XgnKGIsIeRoQ8BNiAAIbw3u/OFlBJ0X0GNTtBLyK2eMRXSp+Sujkv6deZ3SC0MEfboefsyfkamPE9e4T/IqbuzEYLHQtjTHuuYiMBhiMBhSGkEdhbVg+UP0nEEmfEjZC037LR0RYTcZnTrVnjlhJ+BuifPJdPGj1iazGy7X/P58tCM6tuOaX+uw+EljiUsyMoV3UunVMLwbi35cNYqr2NmrtrOrYM6VejaUYqLE+WhUZQIQgiECCq2mMmdC+GrFogJtOJ3mJYyC5k2xfug9K/ysquk4zAy5YWcE/k/ceeIoIxvIGuZz3WFCChdMWNbgowbARnfGbWCnMfANhsZfy0y/ftSW/diwd8idaHB/tVcaVQzxvcgoJGPonbVIkOZfM9Ij+0bgq0Wvnz8hlKrBbN+r+9t2KOxiew/GVcq6+dy6HQ8b05fypjXvueWST/w2bzVnE2qeBmQirJFeWgUFZPg6yH9KzxvOzkRQdcWf53sDSBTfAyyQfY/EDgUmfETxucAz9lKMuMbRGDJZ5j4i3SeRiY9gmFj/k/yhs0y9WWwtEYEdCwP8yoFXZvVITzYSkqG5yDY0KAAFm3cy/Nf/4nDqdOqfnXGDOxAv7aNCngnWtWvTvM6Vdl/Ks5tyrNJE7RvVMuvKr0D2jdmxgtj+X7JBpZsPkCW3UF0WDBXdG/J+GHdsJZS/AxAcpoNTQiPW3G5JJViYPDMVdt57cclaELkZVztPX6Obxdv5P37rqJ7y/qltraiYqMEjaJCIoLHITNngZ5IQfEgwDoILJ2Kv5D0szFk7jj7Vjf25McJ9u3FtapYGKLrQjGTHxMy/ZuLStDYnU7+2XGEI2cSCLJaGNC+MdV9BLB6I8Bi5t6RvZg8fanHMek2OwvW7s57qG7Yd5y1e44xZkAHnrxhQAFR8/K4YYx/ezq2bLtL6rNJE4QGWXnu1sv9tq9+9SieueVynrnF/2tKglox4T7FTO640mD74dO89sMSo+NbPjt0Kcl2OHjss7nMfWU8VSJCSmV9RcWmTLacPv30Uxo2bEhgYCCdO3dm5cqVHscuW7YsZ/vC9WvPnj1lYapbpMxCZs5CT56InvxfZMZvSKlSE0sTYaqKiJ7uRrSYIejmnAyqEtijNzf2b5wpZ5xf20Tl/Dkh+1+8t2Fw5oy5OFiz6yjDJ37JhClz+WTuP0z+ZSlXPDOVV75fjN1HIK43buzfnkev60uA2YQgp7s2RiNIkyaQOdlOueT+/8/LtrBk0/4C8zWtXYUfJt7C8G4tMJuMt16L2cTInq35YeItFbLlwoX0adOQyJBAj72/NSHo2KQ2dapGlsr6P/69yWOtHikh2+Fk9j87/JorM93G6rnr+euHlezdcLBClYFQFI1Sf+edPn06jz76KJ9++im9e/fm888/Z/jw4ezatYt69ep5vG7v3r0upY+rVi1+vERRkPYdyMS7QE8gt+aKzJwJqZNzOiR3KBe7ShqpJ4DjGIhgMDetEAF9wlwXEfMD0nEA7DsNMRHQA6GV3Bu/MDdGWjrndCF39/DTwNwELEZ2h7AOQGavw5v3A6uvlhCKkmL74dM8/Mls9JxMtFxRIZHMXr2DbIeTV8YNK9LcQghuv7wL1/Zuw+JN+4lLTqdKRAixial8+cc6j9dpQvDD35u4vHOzAufqVYvk5bHDePbmwaRlZhMWbMViLn7cWVlhMZt45ubBPPXl70ZZwHx/BpomCDCbeOqGAaW2/r+7j3kt7KdLyb97jnLXiO4ex0gp+fH1mfz85mxsaedbSDRsW4/Hp95P8y5+fshRVDhK3UPz7rvvcuedd3LXXXfRsmVL3n//ferWrctnn33m9bpq1apRo0aNvC+Tyf0ffVZWFikpKS5fJYV0xiMTxoKelHPESd5DT6YgE+9AOs+U2HpFQUqJzPoHPeUN9JRXkJmz/W43IPU0dPte9MRHkGd7IRNuQMZfiYy7HJk5r5Qt9x9hboIIuhoROLxExUze/BGvGEKuQJFAEwgrIuLN8wIvaBSIMNz/6RhjRMjYErexUAT0wPuftilnTOXn89/X5DVHvBApYf7a3Rw5k1CsNcKCA7muT1vuuaIH1/Vpy74T57x+mtelZMeRM17HBFjMRIcHVyoxk8ugTk354P5raHxBoHOnJrX5+skxNK9brdTW9me7y12MUn6+evpHvn7uZxcxA3B01wke7/88h7er1g2VlVL10GRnZ7Nx40b++1/XxohDhgxh9eoLK8C60rFjR2w2G61ateLZZ59l4ED3QZaTJk3ipZdeKjGbXcj8JSd2wp37XgeZicz42SWltyyRztPIxHvAsZfcH6XkO0h5HaI+RgR0c3+dbREy7QtweChM5zyOTH4c9EREyO2lZH3xkVKH7FXI7I2AQAR0Nzw4hfQuCXMTiJmFTPvIKNiHA9DAOgQR9pBxPnesFgnRXyET7swXTCyN8ZgQke8iLM1L5P6Kigi+CZk+Nccud2/uzvIXXSVASrqNNbuOei1WpwlYuGEv/7my5IoWapqGEN6L3JlytsrLitjEVGau2s6uo7FYzCZ6t27A8K4tCA4snUy6Pm0a0rt1Aw6fSSAxLZOa0WHUiin9gnodG9fmn52HPXppNCHo1NRzrZ64k/FMf2uO23O6U8ee7eCbF37hxZlPloi9irKlVAVNXFwcTqeT6tWruxyvXr06Z86492zUrFmTL774gs6dO5OVlcV3333HoEGDWLZsGf369SswfuLEiUyYMCHv+5SUFOrWrVsi9kvbQrzHIuhg+wPKQdBImW14j5zHc47kq18hU4wHbpU5CHMj1+vS/odMewvvn+Bz3Papb0DQlQjNd+ZFWSMdB5CJ94HzKMavsUSmfwqmphD1GcLseTvTHcJcDxH5FlJ/CWQSiAiE5j6wUFjaQdWlkDkbmf0PSIcRYBs0GmEqn61RF/tMNSHyA2TSwxg/y9ytNBOgI8KeuygCglMzs7yKGQBdwuJN+7hjaFcCSij7p0eLeizdcsDjeZMm6N6ycL9/xWH+2t28+O1CpDQ8GELAsq0H+WzeGj57ZBRNa/vf0qQwCCH8TkcvKW6+rCMrth9ybw+GoBnVt63b8wB//7gqp4OWe3Snzuq560lNTCMsKrTY9irKljKJXrzwk4qU0uOnl+bNm9O8+flPuD179uT48eO8/fbbbgWN1WrFai2dmgvIDD/G2HyPKQ1sC8F5xMNJHXAYmSwR571X0nEwR8zkjvGFEzLnQsi4Ypla0kg9AZlwK+jJOUfyiTnnIWTCbVBlPkIr/BuS0IKBYD/GhULIrYiQWwu9RlkgAgdDlT+QGT/kK6zXDRFy60VTWC86PJgAs8lnBd7DpxN47puFvHnXFSWy7ojuLfl03mpSM7LcboE4dcltg7uUyFq+2H74NM9/86eLtyj3/5PTM7nvgxl8/dSN/LXpAIdzMsCu7tmaFvVKb1uoNOnWoh4PXt2bj+f8g0k7n7ZtygkUfv3O4dSM9pxhlXAmCc2koeuef2ekLkmOS1WCphJSqjE0VapUwWQyFfDGnD17toDXxhs9evRg//6CWQOljqUNnpsvYpwrp4eD4T3y9uNz5myf5LsmYzre7+dCTMg8D1AFIuPnnLgmd29KTtDPQObssrWpIqKfBf0coIMIRphrlkgxwopCUICFEd1b5j3MPCGBxRv3se/EuRJZNyQwgE8eupaQoADyfy4zaQIB/HfMZXRtXjJeYl98u3ijxyJ7Tl2SkJrBVc9N44NZK5m7ZifTl23h5kk/cN2LXxOf4mfJggrG+GHd+HLCaAZ2aEKV8BCqR4VyTe82/PzMrQzuVDAQOz8xNaNwOr1/mNM0QWTV0kk7V5QupeqhCQgIoHPnzixevJhrrz1fBG3x4sVcffXVfs+zefNmatasWRomekUE34y0/e5lhBMRXE6f0GUaPr0sF6aWO/bivYZKgQlAVLxGczJzLr7uXdrmVVjvSWkjpUSmvQPpX5C/PYNM2wfp0yBqGiKgfbnaWFLce2VPVmw7SEKq9zIKJk2wYN1umtUpGUHXqn4N5r48nnlrdrJ82yGyHQ7aNKjJ9f3a0dCP4nglxaodnuNJvHEkNpHrXvyG+a/dSWgpVRUuTTo1reM1VsYTA2/uw5cTf0B62HTSTBq9ru5KaKSqY1MZKfUtpwkTJnDbbbfRpUsXevbsyRdffMGxY8e4916j8/DEiRM5efIk3377LQDvv/8+DRo0oHXr1mRnZ/P9998zY8YMZswomUaEhUEEdEGG3AXpX2J4Q3Ifojm7sEG3QUCvMrcLAHNTyF6LZ4EiwNzwgkPB4HUH+UKciKAri2xiqSFTfQ0A3f0YKSXYtyFtc41UfFMtRNB1CH/r0VQGbH/kiBko0J5BZiAT74ZqyxEiqDysK1GqRYbyyUOjuOl13+0cktNLdns4IiSQWwd35tbBnUt03sLgy9vgjdTMLD6YtZJnbh5cghZVbKrUiubmp6/j+1d+K3BOM2lYgwIY98qYcrBMURKUuqC58cYbiY+P5+WXX+b06dO0adOGBQsWUL++UZ769OnTHDt2vj9IdnY2TzzxBCdPniQoKIjWrVszf/58RowYUdqmukWEPgnmVsj0L8GxyzhoboYIGQ+B15RbvRYRfCMy4xsvI2QB75EIvByZ9Ze/K0DgVQWCiisEpkY5zSs9vZmbwI3dUmYhkyZA1mJjDBIQyPT/IYPHIcImlsjPU8ossC1COvYaosE6CGFpUex5/V4//StcBXh+dCPoOXO+0V7iIqBxrRiCAixeG0BKoGZ0OCnpNhas38Ox2ESCAwO4vFPTUk0zLm1a1KvGrqOxfqUzu+P3f3fx1I0DsXgoi3ExcvuLNxAcHswPr/5GevL5OMkmHRsy4X/3Ur9l4T0/ioqBkBdZecSUlBQiIiJITk52KcxXEkiZCVLmBI6WPzLtE2TaBxT0uggI6I2I+hwhLOfHSxsybjg4z+DVswMQdD0i/IVSbaBYVKTtj5xeRZ4RUdMQ1t4ux/TkZyBzBp6EkAh9EhF6d/Fsy1phiCaZQm72FTghoJ9R3bgIgcpu13EcN5pNOs+BVgURdA3CXM/Ifott4+NqEwReiRb5lo9xlYfJ05fy64qtHrdfhICHr+nLZ/NWY3c6MWlaXqXffu0aMWn8CIKsFrfXVmT+XL+Hp7/6o1hzLJx0N1UjL70A2GxbNluX7SQj1Ubd5rVo1E71gCpvivv8Vt22C4EQQRVGzACI0AcQEe8a20+5aFUQoY8ioqa4iBkAIQIRUd+AKTdg0cz5IOFAQ8SEPYuouhwt4rUKKWYAsA4Bi5fCcIHXFtgKlM6zXsUMgEz/Aimzi2yWtG9HJt6bb0vMQZ5wzF6FTLyv2OXVpdTRU95Axg1Gpn0Kmb9B+mfIuMvRk18xavP4N1Ox7KhojB/WjZjwEI8BwkM6N+eDWSvJdjiREhxOPU/8rNp+mGenFU8UlBdDuzTnml6GgM0fHOwrUDo/gZVQyJUEAYEBdB3Wkf6jeyoxc5GgmlNWckTQlRB4RU5rBjtoVRHCs/tYmOtBlT8gazkye4VRQ8XSFgKv9Fh3pcKR/gXY/6WgZ0qD4LsQYRMKbh1lrcR3EHWy0XwyoGuRzJJpn+G5mJ0O9rVg34Q0twDbPKRtiRG4bWmJCB7jUsDPI+mfQ8ZXOd9c4GXL/A60cDC3ydke9XS/TkQR77GiUiUihG+eGsPkX5ayfOuhvC2YKhEh3DW8O3NW7/DYJVqXkqVbD3LodHyZ11UpLkIInrt1MF2b1+WnpZvZc+wsJpNG37YNORWfzK6jZ71e37lpHcIqYVCwQuEOteWkqJBIPRFkFmgxrttmtoXIpIc8XKWBqQ6iyp8I4arVZcYPyBTfFaXdbVX5Za/MQsa2x7toMkPglZC9BvRYzgsyIxNJhD2FCLnLyxqZyLO9fHQID4Lw5yFloofzGohQRNUVFcrbWJKcS07jaGwigQEWWtStRkJqBsMm/s/rNSZNcM8VPbh7xMXREgLgbGIqI5//CrvDwxYr8Nkjo+jWouyKACoU3lBbTpcgUk8ymmY6Dl10HWJl1jL0+BuQZ7sjz/VDnu2FnvoeUjeC92TaF3j+tdXBeQyylhU8ZfYnKFcgtarItCno54aix3ZDj7sGmfGz7/5YMhPfxQol2BaBHnf+eyAvrTp1MtLmJWg7e60PMQOQCSIcgu/I+T6/t04DEYiI+t9FK2YAqkaE0qVZXdo0qIHZpJFh872NKIQgI8tzUHFlpFpUGNOfuY2qEQU9rxaTxit3DFNiRnFRobacikhe+m/mTOPTdk5gJpbOpZb5JJ1nkKmTjbTc3O0GUyMIewQROLxU1ixLZMbPyJTncREsMhnSP0dmrUJGTQHHdh+zmJFZq4xKufmxdAJTE3Aexn1AdE7DxsS7kXoseeLEkWzYlPEbRH/tOahXhBk1e2Sy+/OQM6e36tMaMv1LRKCHbt0X1hXygCATET4RaR2IzPg+p1O5FQKHGVtbphp+zXOxUD0qDKvFTJbd4XGMw6mXaf2YsqJBjWj+nHQ3mw+c5M8Ne3E4dZrXqcqIbi0ICw4sb/MUihJFCZoiIKUDmfx/YJvH+cJlJmTmL2AdBJEflHhArXSeRcaPzvl0n++B7DxsZPyEJyCCbynRNcsS6TyXb0voQk+HDo6dkPGtn7MV/KQthIDId5AJN+UIgwuywrSqRvVh/ewF6+eMc+xApr5pdOZ2gxAmZPBNOfVfvHlqzhe6K4gO9o1Imem+RozJjxgbgJxYHGHtgbBePFsoRSXIamFkj1bM+me72ywokTPm8s7eq8xWVkROw8aiFKJTKCoTasupCMi09yCvgrDT9d+sv5Epr5fCmh8VFDPGGeO/Ka8ZcSeVlcwZeM+80Y2MHq2Wj4kcCIuHKrgyE6Q7MSGNbRrHTryKjcxZSN2zB0aE3G14zAq0l8jx2Fk8N81zNce9DcLSFCwd3Myfiwbm1hdNr6aSQtclvVo3ICIkkAuTf7Scrtgv3T6UoIBLM9tHobhYUIKmkEg9DdK/w/PDV0LmLyUqLqTMhMxZeG9b4ITMecVfy3kGPfUd9HOXoZ/tiR5/mxGI63c6cBHXdRwk78HvCT0egm/2Mk4YWz+BBasbS2lHJj2I4b1x87Nz+tMrLBvsuz2eFVoYIuYnCL4JyOdhMTdFRH6ACLoO794bAab6IDxnm4mI13MqPl8oakxGv6aISX7cx6XD8m0HufLZqUyYMpeE1EwudNB0blaHzx+9nkGdmrqfQKFQVBrUllNhyV4P+Cqh7oCsNRBUQtWNnXGAr8BGo5FkcaJ3pH07MmFsTpfxnAevnoRMWmukhke87TUl3GUuZxxk/W3MZW5kFPrzdm1eWwZvCAi+FezbIGsRrtVwTYAJEfmx+4DXrL/yBeO6tdjH2rkmuL8HKR2Gd862BMiCkPEQ0AthrgVaLYQQhhhOnexmyyvf9CHjvMZgCXMTiJmFTPs4x0vowMieusKoS2Ru4N99XAKs2H6ICVPmevzRPnvzIK7r265sjVIoFKWGEjSFRPrMMsml6AXaCqCF+TFIGt6JIiJldk5RuHxiBsjzCtnmG9sdIWN9zGNHprwBmT/mXJsjOrQaEDHZY0yHCByCzPzJy8wmsPZH04KRkR8YdVwyvgfHAcAKQcMRwbd7bNUg7dsxft09B4b6RASDuXXBuZ1nkAnjwHmI8y0VgPQpEP4yIni0cbkWCpEfIxP/g/Ea53rccl4j63AI8t1HRpjrISInI+XLoCeDFoEQKsAzP7oueWv6UpCepeqn81YzslfrS6rsv0JxMaO2nAqB1BMg7QP/Brt58BUVoUXmVL719sbrRARdUfRFbItBP4fXSrppnxXYepLSjtQTkdIIxJUpL0Lm95x/WOd6es4iE8fnCAs3BPQEczvc32NOvZbg8ejpvyATbkamfQhYEeEvIqqtRAt/0UffKQvFq44rIPiWAt4fKZ3IhPHgPJpzxIlxz4ZgkSnPIrNWn5/F2gdRZQ4EjQYRCSIILG0REW8jIt/12wMGOZWfTdWVmHHD9iOnORmf4vUnnpCaybo9x8vMJoVCUbooD00hkElPgfOEj1EmsHQwAjhLEBH6MDLhFtx3yxbGlkMxOkZL+yZ8ejBkAtK2ABF0JdJ5Cpk2JSe2JwsIQJpbgWOLh4sNYSOTJiKtXYFAIz05J81dCA2iv0Am3g95tmDYIwIhYAgk3oFLBpPzJDJ5PWT8CFHTvFY6Fta+yPRP/XsxXK8EpNFgMvTRgqezVoDzgJfrNWT6Fwjr+VYMwtwEEfEyRLxcBHsU/hCf4i09/jxxyf56XBUKRUVHCRo/kY4jkL3C90ARgYh4s8TXFwGdIOozZNL/gUzE+NHpgDS6fntIJ/YfDb88GGmfoptbQcKYnJ5FuZ6YbC9iJhcdnPsgwwgAlhlTwdIRoj5DaNEILRqifzLaA2T9BdIGpsZgWwhZc9zMl2OvfRsy5VVEpJeAWEsnsLQzarJ4Da6+kEBE1EcQ0McQXRdakPU33oWgE7JXI2UWQqgS82VFlXD/2nhUjawk7T4UCoVPlKDxl+yN/o0LfwZkOnrKy+A4bMQ3BA43PuGL4r3cwjoAqq00gm0dB41smMDLEabaxZoXQAT0QGZ843ug8wAkP3GBmCks+a6zb0Mm3AMxvyCEZgTEBnRGBHQGjMrA0v6vj/l0sM1B6k8aosgNRh2az4ygZ68elQvQIhHWfp7Py2z8EoLSbhS3U5QJbRvWoE7VCE7GJeOpmHZ0WDDdmqtKuQrFxYISNCWNbREy63HOF1DTkLYFYG4J0dM8PnD9RYgACBxWEpa6Yh3gR6XbHBw7SnBhJzi2Gf2NLuihJKWOTP/Kw3UFjILsrciArpA5E2mbaxTKMzVCBI8x7k+rAuYG4DyIf/E0Jgjo5H2IuQUwy/sYrabXVGxFySOE4KkbBvLIp7PdbtICPDl6AGbTea+bU9dZteMwu47GYjGZ6NW6Pq3qX1pVlRWKyowSNP6S4zHwjgZZC3P+/4KgWMc+ZOJDiJgfSsG44iOECRl6P6SWRx0TE9K2sEBTSJnxPcgEv2eRejzEXQn66dwjRpxN9jKwDjXqw2QtKYRdTkTwbZ7Xy5wLGdN8zCEQIbd7TcWWemqOCJsPeqpRtyZ4DAT0LLU2GpcCfdo05L37rmby9KWcik/JO14tMpQJ1/djSOfmecd2HjnDE1/MIzYxDbOmIZF8Om81nZrU5q17riQq7OLtfaVQXCyobtt+IvUUZMJt4NiL+0wggVFMzXswooiZibC0KTG7ShIpbTndnNM8jNDA3Bgc/hShKwwaBF6JFvn2eVuytyATbsT/zCQzmBrmpE672woThjfFsc/D+fzkdL8OfQwRep/bETL9e2Sqr6BeYdSiifrcYysM6TiCTLg1J8Ms915zvHtBoxHhr7iN3VH4j65Lthw8ybmkdKLDg+nUtDYm7fxreuJcEmNe+x5btgP9grdDkyZoXKsK3/33JpXerVCUMqrbdikjpRM99W3jQe/YTUExk/MSmlvhS8yAyciKqaAIEYgIf87DWQ2wQNhLOUXwSnjtCzK0ZPo0/P/1FBDQO6faryexIv0UMxhFAKOmeRYzegrSH09W6OPexYzUkYn3GBWQXYRbjo2Zv0JGxfToVSY0zehlNLRrc7o2r+siZgB++HszWfaCYgbAqUv2nTjHim2HyspchUJRRJSg8YFMeQnS/4f7QnkCLG0QEW9DxGt+zCby6rVUVETQtYjID8FU1/WEpR0i5kc0axdEyJ3+zmaU8g++C++/agKCRrkeyl6B30HH5vZgaYP3Oj1wvtCfF7QaaNFfFtj+csE2H3cNMN0Y5r1JafYqcB7B233K9Kml3nbCZT3HQWTWCqR9W5muW578sW6326aVuWhCsGjjvjK0SKFQFAUVQ+MF6TgMmT97GaGBqSEi6CqQNqQIAa+VhB0IfxsUlgNSSmPLxlQbon9B6CdzAmtru3pQQh4AZ2JOAb387QfyowGa0XvI0gaZvS4nmFi/YIyOCH8OYap2gTH+iBkBYRMRwTdD+pd+bk75eEgHXuNzBumzFlEOGT9C6HjP82SvxWftH/2UERNUApls3pD27ciUl8G+9fxBUx0Ie9LI0iutdaVk97FYTsQlExEcSKdmdcp8ayfD5l2c6lKSmuGr3YlCoShvlKDxgsycw/lsJXc4wTYfKV9FiEBk0A2Q8Q0eH/BaNbD2LzV7i4PMnI9M+yDHYwBgQgYOR4T9H8JU3WWsEBqE3oO0DoDsfw2hYt+Zk8qdg7mZIVQCuhrfR3+LTJ8CGT+dz6SytEOE3IcIHFjQIEtbsG/AcwyNgJD/oIWMM+wP6IJfHh0RAzLe83nnMd9TaFH+iSc91scAP+ODSjnMTdp3IONvpoDXyXkCmfQIRNgQQdeW+LqbD5zk9R//4uDp8z+PqNAgHri6N9f1KTvhX7tqBMdiEz3+NEyaoF61qDKzR6FQFA215eQNPQ7fDRMdoBsZFCL0EaN4G+KC60wgghBRHxeqtH1ZIdO/QyY/lq98Pxhi7Q9k/Gik89z5sbYl6HFXI8/1g6S7ION7I1C4yhJEzG+IyM8RMXPRqsw9L2YAoQWjhU1AVFuNqLoCUW0tWswvBcSM1FONGj72rXh/4JsMz0wulq5gbobPn5c3MQOQ9QfSecr7mEB/m45moTs8e3OEpTM+e0tp1cBU08/1ioZMeR1DzLj3XsmUV5GyZD0U2w+f5t73f+PwGdcstsS0TF79YQk/L91cout5Y3S/dl5/bZy6LFOBpVAoioYSNF4wPBO+Ph0HgBZhjNeCEdHfIsKeNmJHMBu1XYJvRsTMQVgqXmdfqSfkC3C98F6doJ9Dpn1knM34GZl0Pzj25Btjg4yfjcrBpvqIwIEISwuP6wlhQZhqILSCn3ilnoZMuMnw4nhs7mnC2MqajDCdrxEihEBEfkqJ/Erb/vZ6WphqgajmdUwe8TcgPYka6wDQauE59kfkdN8uPREsHcdyPGFetuJkqs/XpLC8N2MFTl26DcQF+HD2KtJtJdjg1Quj+rajbYOaaB5S5G8b3JlmdaqWiS0KhaLoKEHjjcBr8B5zYYLAq1wCP4UIRISMRau6CK3GLrTq69HCn0OYK2hF0sy5eL9HJ2T+jB4/1giQBtwKH+cxo7dTEZF6CjLpYd+ZSNZBRup70JUFz5nqeL/WLzTAD29E6AT/ppOJyOSJbk8JYUJEfZ7TJT3/n2LO/1uHQfAd/q1TVHxuiwGY8tX2KT6n4pPZcvCURzEDYMt28Pfmki4P4B6rxcxnj4zilkGdCLZa8o7XjA7j6Zsu49Hr+paJHQqFonioGBovCHNdZMidkP6lm7MmEGGI0PvL3K6SRDqP4TmwNx/2f/HurXJC5nRk2OMFWjxIKSF7LTJzFuhnwVQdEXQdWLoihEA6jiLjbgR8FdHTjKJzllYezgvAitEss6g4wey7sagIvgKZ/nbOtqSP+exrkY5Ded3ApcwG50nAYsQaVVkAmT8jM+cZQeXmJsZ2mnVw6degceMpK4jTz3H+cc6PhpAmTfg1rqQIslp4bFQ/7hvZixPnkrCYTdStGommqcKGCkVlQQkaH4jQJ0FEItM/dw16tXRGRLyCMNcpP+NKAhGBf8Gp/vQrSsvJiqpy/pDMMjwvWUs5H2BtQmbOBOtgZOA1kDwBz1tMF+AS5+OKEAIZOARsC/DuqfGSmaVVg4A+Ps0QwgpRU5EJN/vIbMvBvgup1UCmf5ITGJ1TvNDUEBF6HyL0QUTog77nKWlMjcHcPMcz5ulnbAXr5SW2pD+NI526pEpE2beLCAww06R2Fd8DFQpFhUNtOflACIEIvccIZo2ahoj8BFFlIVrM9whzw/I2r9iIwBEUf5smbzYQQS5HZMrrkLU85zun679Zf0Hyg/gtZtBAhHq3IOROCgZl52ICUz0Q1SkYt2ICzIjId/yOWRGWlhD2gl9jZeY8oyJw+lTXSszOI8jkp5BpH/s1T0kjhECE/R+eXzMMsaWFldiatatE0K6h55gVAKvFxGUdmpTYmgqF4uJHCRo/EcKKsPZGBF5+UQiZXISlKQRege9sLl+YIKAfQjv/qVrqCUa1W4/bWYVNR3bkCDDPCEsrROQn+YSVmTxHpLkxIvp7RJWZEHxrvoaRJrAORcTMcMnM8gcReBngpXheLtnL3NThgdzXQKZ9aNQ9KgeEtY/xmmkxF5wIQoQ9BSH3lPiaj47qiyYEnjTN/Vf1JjRIdSdXKBT+o3o5KZAyG5n8HNh8dI32iAA0RPSPiICO5+e1/WlsN5UIGlg6IaJ/8Ktho9TTwPY70r4DRADCOtBoaZAvJkVKB8gUEKHeK/r6QE+ZBBlfU3iBlh8TBI9DC/+/YsxRPKR05FQvPgkiEqwDXARqSbN+73Fe+3EJx84m5R0LD7Zy38he3NC/vWrMqVBcYhT3+a1iaBRGw037lkJeZMIQMg4QIYiIt1zEDAAl2eYhoCci8gO/H3JCC4XgMV79TkKYQUS7PSedZ5Dp30DmbKMQoKkWIvgmCLoJobn2shJhTyCdsZC1wM+bcYczX1HD8kEIs5FKXkZ0bV6XWS+OY9uh00al4JBAujWvS4BFvS0pFIrCo945LnGk46AR2yH9yQwSgAUiP0U4tiFlJsLcBAKHI0RgweEl1VU86Da0CE9NM0sead+PTLglJwg8J97HeQyZOhky50D0Dy4xJUJYIPI9ZHJgjperKJ4aU74tsEsHIQTtG9eifeNa5W2KQqGo5JRJDM2nn35Kw4YNCQwMpHPnzqxcudLr+OXLl9O5c2cCAwNp1KgRU6YUvb6Jwjsy7TOQ2fhM284l9CG0wH6I0AfRwp40mlm6EzNgxBoF9MB300gvWIchwt3XcSkNpJRGuf/8Yub8WXDsR6a+WeA6IQTCXJ+ixyI5fcYHKRQKhcIzpS5opk+fzqOPPsozzzzD5s2b6du3L8OHD+fYMfc9cw4fPsyIESPo27cvmzdv5umnn+bhhx9mxowZpW3qJYeU2X6kOOdHg7R3kOnf+zG3E5m1HEzNcgJ0i/CrFvIQIvL9AnVtShX7BnAewGv/rszZyJx2Fy5YB+O3MHTBBOaWFbbPl0KhUFQGSj0ouHv37nTq1InPPvss71jLli255pprmDRpUoHx//d//8fcuXPZvXt33rF7772XrVu3smbNmgLjs7KyyMo6v12SkpJC3bp1VVCwH0g9AXm2RxGuFIgqfxbI9pIyE/RkpPM0JD8OzhMYu5p6zpePztJ504ciIl5HBA4rgm3FQ6ZPRaa+hS9hIqJ/RgR0KnBcT7wXspZ5vj6vI7sZY2vKadQ0ivoEobmP51EoFIpLgeIGBZeqhyY7O5uNGzcyZMgQl+NDhgxh9erVbq9Zs2ZNgfFDhw5lw4YN2O0Fg0wnTZpERERE3lfdunVL7gZKCKknIrNWIrNWIfXk8jbnPCIMCPI5rCAaMuPnvO+k4wh60uPI2M5G08qEG3PEDBgCJvfh7of3wnq5UfOnHMSMgQW/YmA8eI1ExNsQ0CvnOxO5vadAQ4Q9g6i2FhHxPoTcASH3IqJ/NbLDlJhRKBSKYlGqvvy4uDicTifVq1d3OV69enXOnDnj9pozZ864He9wOIiLi6NmTdfOwxMnTmTChPN9dXI9NBUBqacZjR8zZ3HeMxGADLoeEf5fj7EnZYUQFmTwdUZzyUIV13OCfQcA0r4PmTAGZKYfc/ghaOw7yvd1sfaBVB+CRkSB2X0DTqGFQtRUsG9D2uaDTEOY6kHQdQhTTkPLoBEIVLyMQqFQlCRlEpxwYaqtlNJr+q278e6OA1itVqzWileAS8psZOJ4sG/D9UGebfTtcR6EqGklFh9iFLGbibTvBCyIwIFISydE5mxk1mKQNjC3QYTc7NL1W4Tci7QtAj0B/0WNAGG85jL5aZAZFC12xA16fMnMU0SEuRHSOhCyVuDp9RAh473WrRFCQEB7RED7UrJSoVAoFBdSqoKmSpUqmEymAt6Ys2fPFvDC5FKjRg23481mMzExMW6vqZBkzvNS20WH7LWQtRgChxd7KZm5AJn8JIYXyChhL22zjX+NEcZAx0GkbSaEPoQIfQgAYaoOMb8gU17Oif3wL6RKWC9D2veAY1ux7XfFjrTvQJRUyncREBFvIRPvyvn5ne8/BU4IGg0hd5fYWlLqYN9qCDlTDTC3VgXlFAqFogiUagxNQEAAnTt3ZvHixS7HFy9eTK9evdxe07NnzwLjFy1aRJcuXbBYLKVma0kjM3/BewqvQKb/WPx1srcikydgiBmJ4SnJ9SxIXAWKcVymfWR4ZXItMdVGi/ocUXUZImoahL+JoXU99EPSoiDoGnAcLLb97pCJ9yNlSfWXKjxCC0dE/4SInAKBwyCgJwSNQkT/ihbxWol1wJa2hci4QciEG5FJ9yPjr0PGXYHM+rdE5lcoFIpLiVJP254wYQJffvklX331Fbt37+axxx7j2LFj3HvvvYARA3P77bfnjb/33ns5evQoEyZMYPfu3Xz11VdMnTqVJ554orRNLVmcp/Du7ZBgX4ue+naxHt4y/X8YwqMwyWoaMn1qgaPCVBNh7Y0WfC0i8iOMHkW5TQtzflW0KETU10asiAguMEfxkaCfyfEWlR9CmBCBl6FFvocW/Q1axKsluoUkMxcgkx7K+T3Jh/MgMvEOJWoUCoWikJR6DM2NN95IfHw8L7/8MqdPn6ZNmzYsWLCA+vXrA3D69GmXmjQNGzZkwYIFPPbYY3zyySfUqlWLDz/8kFGjRpW2qSWLVgX0s/gUGulfIPUMRMTzhV5CSglZSyl8t2wd7JuRMttjLIgIHATVlkPmLGT2VhAmREBfI6A1N2jX2sMQNTLD/6WtwyHrD5/DZMYPENDdEE4XGVLakakv53534VlAR6a+CgHz1PaTQqFQ+IlqTllKyPTvjIeSX54TgajyF8Jcp3BrSB0Z6z7bxh9E9R3FasoIINM+Raa973ugVgMRchcyoD/EX+7f5Fp1ozu2uX6xbKxoSNtSZNJ/fI4TMbMRllZlYJFCoVCUPxW6Ds0lTdB1YGqAf2X/BdjmFXoJITQwNaHw5fY1MLfyKmaktCOd54yu1d4IuReCx+fYYMJw+uU0rgweC9HzjCJ8VZciQm5HmOuC5mffHj0OmXi3ETh7MaHH+jfO6ec4hUKhUChBU1oILQQR/QNYOvgxWjPSrouyTshtRbhKR4SMd3tG6inoKW8iz3ZHnuuNPNsJPeEOZPZ69+sLDS38v4gqSxChD0LQDYjQBxFVlqCFP4MW0BxhboQQprzxIvQeP+00OlDLpIeQ9l1FuM8KilbFv3GmSpTVp1AoFOWM6rZdighTFYj6H/JsV7zHuegIU42iLRI02qiZkvWXPxYBEoJug8CRBc5KPRkZPwacR1ztzf4XmbAGIj9ABA51P7O5LoQ+4J+vKOgmcByGjG/8GQ1ZS5BZi5GBVyIi3ij2Nlm5Y+1rVGmWqR4GCDDVBXPbMjVLoVAoKjPKQ1PKCC0UAq/A+9aTgMCr3J6RUnrdchHCbGQkuREobteJ/AQR/qzbYFOZ9nFBMQM530tk8v8h9XQ/1vFhhRBo4c9ApL9d1HPikGzzkSmvF2lNKZ1UlHAxIayIsCc9nTX+Cf2vkfGUvbXI3juFQqG4lFCCpgwQoQ8bTQk9iBoR+hDCVNXlmMzeip74EDK2DTK2JXrcFciM6W5TvIUwg1YV3w43HWFu6l7MyCzI/BXPniRpZDPZ5vtYw3+EtT9o7gsserQh8xek079qwlJPR6Z9hn62HzK2JTK2PXryM0jHoaIZXIKI4DGI8FdBRLie0KoYsUdpk5FxI5AJo5Fne6EnPop0um8XolAoFAolaMoEYa6HiPkFArq6ntBiEOEvQMh9Lodl5nxkwo2QtQSwAxIcB5ApzyGTHnEvarQQ/Guq6KF2jDPWj/RrM9JxwPcafiKECREyjsIFNTsge4XPUVJPQybchEz7wKhrA4DNaA8Rdy0ye3MRLC5ZRPANiGr/ICKnIMJfQ0RNNYKsM74G59F8I3XIWoiMH4VUgcIKhULhFhVDU0YIcyNE9LdIxzFwHjI8NpYOCOFa/Vg645HJT3G+6m/eGeOfrMWQ+QsE3+S6gHUIpH3kxQINLG3PN0gsYKA/RfJkkYrpSWkDPQW0CIS4oO9W8FjI3gJZCwsxYZbvIWnvgmMfBXtMOYEso6hd1WUIYUbqGWD7A+nYCyIIETjIpd9VaSJEAAReZtisJ0Jibjr3heLUCXoCMvUDRGTRtt0UCoXiYkZ5aMoYYa6HsA5ABHQtIGYAyJxBbsyKJ2R6wWBaYWkO1svw/COVRhaSJ7tMVcDS3sv1AE5E4BAv5y9Y0XEIPekJZGwn5Lk+yNhO6En/NURd7rrCjIj8AIJu9XtezE29r6tnQMZveG6YqRtFD7OWI21/G9lcKRMh43uj0GH89ejxtyP1ZP9tKgky5+E9eNwJtrnG/SkUCoXCBSVoKhjSsdPXCHAeQkp7gTMi4h2w9sv5zgRYMLZzrIjwSUbMihdE6AN4FgEmCOjnd6E3ad+NjB+VE3PjyDlqB9sco2dRvj5QQmjg2INfv46mxmDp5H2M8xhg8zGRGWn7C5n0QL6tNgd5gsK+Hpl4X5kGEkvncXzXLcoGPa4szFEoFIpKhdpyqnDkihBvaLh78AktBBH1BdK+C2n7E2QawtQQgq5GaL6rLgrrAAh/HZnyAsbDPXcNh9GGIPJ9v+5ASiMjCmnDbcaUTEcmP4uI+Snf4WN4FlN5FiIi3/HdDsCvtG4J9s3n/78ATrBvML4ujH0qJYQWjvQnDsqPn6VCoVBcaihBU8EQ1gFI21wvI0wQ0Ndrx2dhaVXkkvki+HoIHASZc4xsIBGCCBpeuJgSx44cj4snnGDfiHQcRJgbG4e0yJzeV14wt/bvvkwNwFQbnCe92+A8hPdAajPS9geijAQNgVf4iIMyQUAPhBZZNvYoFApFJUIJmopG4BBIqw3OM7iPp9ARoXeVqglCi4KQcQX8RFJKsG9F2haCzECYG+V4fyJdB/qbCeU4ADmCRgRdg0x9C28CQwTf4J/9QoOQe5Epz3kYYQJLV7D76mgtoQTq7viLMDdCBl4NtrkUfB2Mn4YIfajM7FEoyhKn08nq2euZ/8ViTuw7TVhMKINu7suw8ZcRGhlS3uYpKgFK0FQwhAiAqK+RCWNBP4WxvaTn/CsQ4a8iArqVuV1ST0UmPpAjAoxeTRInpL4FEa8ggq7NdxP+ZUJJxxGwbwdza6R1uDGXt/HmZv4neAfdAM7TkP5pjr3O8/9a2kLkBxA3FGSStxUN0VaGiIjXkCIAMn/LOaIBThCRiMi3EAE+4ocUikqIw+7g5dHvsGbuBjSThu7UiT16joObjzDzg/m8u/xlajTwkKGpUOSgum1XUKTMBttCZNbfILMQlpYQNLroLRKKiZ4wDrLX4t5rJBBRUxHWPkBODZizPQHf6dWAsT1k6Qq22V4GaRB4DVrkG4WyWzoOITN+NWJ0tHBE4AgI6I0QGnrq+5A+BW+B0KLqigJFD8sC6TwNtsUg08HcCKyXuc+KUyguAr55YTo/vDrDbRC+ZtZo2KYen22c7Dt+TlGpKe7zW3loKihCBEDQSESQPy0NShdp3wbZq72MEMi0T/IEjdBCkSHjIf0z/xZwnvQR7wJGcbkl/s1H7vbYJmTmHNATwFQTETTKEIa5Vofchcz6Cxz7cRU1hldMhD9bLmIGQJhqQsjt5bK2QlGWZGfZmf3RHx4zCnWHzsEtR9i5ei9tercoY+sUlQmVtq3wibQtwns6sW4E+eqJeUdE6MMQdEvOdyZKRjsXTFV3h5RZyKT7kAk3Ge0cshZDxg/I+KvRk5/Lq7QstFBE9E8QPC6nNUUO5laIyE8Rwbe4X0ChUJQYx3afIC3Je6yaZtLYvmJ3GVmkqKwoD43CNzITv9oTyEwgCshpaxDxAjJknOElcR4H25xiGKGBuY1fI2XKy5C1LOc7p+u/mdPBVB1yigwKLRQR/l9k2ASj/YMILDevjEJxKaK2kRQlhRI0Cp8IcxMjANjroFCjsWKBa+sjwh7OqY1THEGjI/zYgpHOc5A5E281bWT6VxByF0IEnrdTBIC5bjHsUyiMrc4tS3ew8rd/yUjLpG6z2gy9YwBVaseUt2kVlrotahMWFUJqomcvje7Uade/aKUoFJcOStAofBM4ElImYQT5utvn1iDoBkMUeEKL8mMhkTN/blZSztzoEDTG6Ffli+xVeG8fAMg0o3+UtYcfNikU/pGamMZzV73Bzn/2YjKbjJgQCd++OJ173x3HtQ+PKG8TKyQBVgvXPDSC71/5zW0cjcms0bBtfVr1bFYO1ikqEyqGRuEToYUiInKziy6MpTGBuUlO2wQvc5hq5rQs8PYrp0HkJ2Dtj1ExOaehZsS7iPCX/HNNy2zfYwC/M7AUCj95efQ77P53PwBOhxPdqaPrOrou+fTRaayc4avu0aXLzc9cR8+rugBGvEwuQghiakXz4swn1daUwifKQ6PwCxE0ArQYZPqnkL0m52AYBI9BhNyL0MJ8zxH2ODLhds57Yi4gZDxa4OUQeHneJ7VCv4nly2LyYgmYmxduXoXCC3vXH2DL3zs8nhea4IfXZtB3lPIKusNsMfPCjCdYPccorHdy/xnCokMZdEtfho4bQEiEKqyn8I0SNAq/EdbuCGt3pJ5mNHTUovyqjSKlDTJ+QWb8jOHhkbgKmgAjpiX04fNrFfXTmLktmFuBYy/ut55MYB1YbvV8FBcna+ZuwGTWcDrcx25JXXJwyxHiTiVQpVZ0GVtXOdA0jT7XdqfPtd3L2xRFJUUJGkWhEVooEOrXWKmnG1WPHdtzj+T8qwFWCL0fETwGoUWUjG1CQOTbyPibQabiKmpMoFVHhL9QImspFLlkZWb7JcKzM/3dElUoFIVFxdAoShWZ9rbRrLKAV0YHsiFzNoiSregszE0QVWZD8M3n68uISMMLVGUmwlS9RNdTKBq1q4/D7j0YPTg8iCq1lXdGoSgtlKBRlBpST4OM3/CcQu0E50Gwry/xtYWpFlr4c4hqmxDVd6JVX4cW9jhCUw8URcnTb3QPQiKDPXppNJPG8DsHERDoJRNQoVAUCyVoKglSZiL1JKT0XF+lwuE4iO9sIg2yt5aaCUII1QNJUepYg6w8/cOjaCYNzez6tqppgoZt63H7i/51i1coFEVDCZoKjsxej54wHhnbAXm2G/Jcb2Tax0iZWd6m+Ub4GaIlvLVVUCgqB92Gd+TDNa/R++pueanHkdUiuPX/27vv+KbK/Q/gn+ckaZqudNFd2lJoy6bsMmQoS0TgIoIoglf5udCLW/Gq6L2AOHBeRRzAVS4uwAUiKFPZUKCsAqV7z3QnTc7z+6NtaGlmm6RN+b5/r94fPXlO8j0c7Pn2Gd/npdl4Z/9rcPNUtHOEhHRutNt2B8ZrfgFXPYX6vLPp+HxDfRbf/4KxjvtDkvM68IJRAC812Y75bQOT9XBQVITYn7ZOC01tHRQerlQ/hRALtfX5TT00HRQXVeCq51E/kfb6yYYiUJcEVH3WDpFZjjEZmPvfTbSQAC4jKZkhnY5UJoWbp4KSGUIciBKajqrmR5jeXVoEr96o3zm6w3JfBLje0fBN49BSwz87aSyY9+r2iIoQQkgnQ3VoOiiuTUZ9AqA13kgsAbgKYB135Q5jAqBcDrjdAV7zHaBNAwRfMMU0QH4zTdglxEY45zhWkoLTpelgAAb5dsMAn0i79BKlVRZgV14SKupqEebmi8khA+Al67jD3+TGYNeEprS0FI8//jh++uknAMDtt9+ODz74AN7e3kbPWbhwITZs2NDs2LBhw3D48A22D4rFc2Pkdg3DFhhjgMtAMJeB7R0KIZ1SelURnj75JdKrCiFh9T2ga6/8gR6eQXgzfj5C3CzZHNY8jajFv5I247fc0xAYgwAGHRfxXvJ2PNPzdswIH2KTzyGkNew65DRv3jycOnUKO3bswI4dO3Dq1CnMnz/f7HmTJ09Gbm6u/mv79u32DLNDYvJbYLJ3BgLgkgAm0B4nxnCxElx7BVyX196hEGI3ZZpqPHhkLbKqiwEAOi5C11De4WplAR46+imqtLbZjHXF2a3YmXsGACByDi0XwQHUiTqsOLcVe/KM72dFiL3ZrYfmwoUL2LFjBw4fPoxhw+r35vj000+RkJCA5ORkxMYa3xxQLpcjKOgG32vHZRgg7Qdoz8HwnkQczP0hR0flFLguD7xiNVD7CxqTQi4bAObxDzD5yPYNjhAb+yHzKEo1VeAGNnzVcRH5tWXYnn0SsyMS2vQ52dUl2J6TaPR1Boa1V/7A2MDeNBmatAu79dAcOnQISqVSn8wAwPDhw6FUKnHw4EGT5+7duxcBAQGIiYnBokWLUFBQYLStWq1GeXl5s6/OgDEG5ru2fqNFAPW5pwT1O1XLwJSvg8nb9gOqM+K6PPDiWUDtz2jWw1V3Brz07+A1LXv7uC4PvPJjiKqlECveAK8777iACWmjHbmnDCYz17dpq7355yHAeKLCwZFSmY+s6pI2fxYhrWG3Hpq8vDwEBAS0OB4QEIC8PONDAFOmTMHs2bMRERGB1NRUvPTSSxg/fjxOnDgBubzlfJGVK1fi1VdftWnsHQUTfAG/7wHNYXD1LoDXgkm7A4qZYIJtxsQ7G17xVv1kaUNL3cHAy/8JuI7T1+/hlZ+AV77T0Kb+hzWv+gxcPgHM+20w5uqo0AlplYq6WpOvcwDldW0vxFmtU9f3vJgpXVats83wFiHWsrqHZtmyZQ3l5I1/HT9+HAAMdjtyzk12R86ZMwdTp05Fnz59MG3aNPz666+4dOkStm3bZrD9Cy+8AJVKpf/KzMy09pI6NMYYmDwBgtfLEJQrwNz/TsmMEVwsB2q3w/AQHQBwgFcCtb/Vf1e9BbzybdQnO2LDeQ3nqv8AV71s95gJaasId3+TPScSJiDSvUubP8df7qmfm2Pqs4IV9POJtA+re2gWL16MuXPnmmwTGRmJM2fOID8/v8VrhYWFCAy0fLfj4OBgRERE4PLlywZfl8vlBntuyA1Ilw3TE6kBQAquTQe4CF75vol2IlD7I7j2cTBpmA2DJMS2/tZ1GI6XXDX6uo6L+Fv4MKOvW6pEXWm2TTePQFq+TdqN1QmNv78//P39zbZLSEiASqXC0aNHMXToUADAkSNHoFKpMGLECIs/r7i4GJmZmQgODrY21BuaKIooyS0FGINfsM+NMUmPeVrQSAQTPADtZUDMMd9cvRuQ3tvm0Aixl3GBvTE6oCf+LLhocC7NxOB+GO7f9mrce/LPmW2j0ZkqBkqIfdltUnDPnj0xefJkLFq0CIcPH8bhw4exaNEi3Hbbbc1WOMXFxWHr1q0AgMrKSjz99NM4dOgQ0tLSsHfvXkybNg3+/v6YOXOmvULtVHQ6HTa/8wvuiXoEd4U/hLvCHsTC2Mfxyye70Mm27WqBScMAaW+Y/mfNAfkkwKLNPQWAm56fQEh7kzABqwbMwwPdx0Mpc9Mf93Fxx6Mxk/Bqvztt8gtNtQVLvzXcXA8pIfZj18J6GzduxOOPP46JEycCqC+s9+GHHzZrk5ycDJVKBQCQSCRISkrCf//7X5SVlSE4OBjjxo3DN998A09PS377vrGJoohV8z/Anm/+QtNf1HJT8vHew2uRmpSOxR/c36l7a5jH4+BlxpazM8B1Jpg0DFx0R/2qMVNbR+gAKe0zRTo+qSDBou43Y2G3McioKgZjQFc3f0gF2+1k390zCLm1ZUbn0UiYgGiPG7zcBmlXtNt2J3JgyxG8dsdbJtu8tWcZ+o/p7aCI2gev+QFc9QqAGtTn7CIAXp/MKF8DYy4AALHsKROTiAVA8Afrsg+M2e6hQIizOlx0GY8fX2eyzbuDFmBEF+M1xpyVyEUIjLY+tLe2Pr9pL6dO5OePf4MgESDqjPwGJRXwyyc7O31CwxQzAPkEoPZXcF0aGPMEXKeASbs2b+f5PLjmBCDmo3lSIwEgAfNeTckMIQ2G+XXH9LDB+DHrOBiudQI3/nla6EAk+Me0X4A2Vqapxqa0P/FD1jGUaqrgKXXFbaGDcHfUKAS4Kts7PGIAJTSdSPq5TKPJDADotCJSkzrXsnZjmOAOuN1hYjErwCRdAL/N4FUfAzXfA7wagFC/aabHI2CyXibOJuTGwhjDC71nINYrBBtT/0R2TX0BvWCFD+6OHIVZXYd1muHswtpyPHBkDfJrVBAbUrcKbS2+zTiIX3MS8enwhxDhbn5xDHEsSmg6EYWnAsgrM9nGzZOWVDbFJH5gXv8E93wOEMsBwZ2K6ZEbRpVWDc453KVyi5IRgQm4o+twzAofhmJ1BTjq69N0lkSm0arzP6KgtlyfzDTScY4KbS1eOfMt1ic80k7REWMooelExs4ZgU0rtxrtpWGMYewcy5fM30gYkwESv/YOgxC745xjZ+4ZfJV6AMkV9aULItz9MS9yFKaHDbZorghjDP6unXOOYn6tCgeMLIEH6uv6nFdlIbk8B7FeIQ6OjphCs5w6kWkPT4KbpwKCpOVtFSQCfIK8MXHBWMcHBoBrs8ArP4Co+ifEinfBtcYLgRFC7Ofjyzvx0plvcKkiV38so6oIK8/9gOVnt3b68g7mXC7PNbs3FgBcLLegjhVxKOqh6UT8gn3w5u5X8NK011GUXQKJrH5Cq65Oh6DILli+bSk8vN0dGhPnHLzyLaDqM9Tnz/VTCHnVR+CKOWBey2jiLSEOklSWgfVX9wFAs4d2459+zj6BMYG9cFNAz3aIrt7lilz8nHUSBbVl8HZxx5SQePTz7uqwYS2ZhUvdM6uK8HziRqRVFcJTqsCkkP64NSQeblKqXN9eaNl2J6St0+LQT8dx9s+LYAwYML4vhkwZAInE8YkDr/oMvOINI68ywP0BCJ7PODQmQm5Uy858h99yTxutJSMwhiG+3fHBkPscHFn90ug3z/+MzZlHIGGCfqm0josY3SUOywfcBVeJzO5x1Oo0mLR7BWp0GrNtJQ3xNa70ClZ4Y83QRbSfVSu19flNCQ2xG87V4AUjAV5uopULWMBBMIHuFSH2Nu/P93ClsuUee035uXjg1/FLHRTRNV+k7MGay7sMviaAYWroQLzUd5ZDYvnk8i58kbLH4MBT0yXr16svLhiIL0csbtGjVFhbjq2ZR7G/4AI0ohZ9vMNxR9fh6KWkveIatfX5TXNoiP1oTphJZgBAA6gPOCQcQm50CqmL2TauEvNtbE2tq8NXqcZ/Dojg2JZ9EkW15n6e2MYD3W/G1NCBAOqTlKb/X2piiFzHRVyqyMWp0rRmxxNLUnHHgdX4ImUPLlXkIq2qEL/mnMLCQx9hQ8MQIGk7SmiI/Vi0X5IV7QghbTI+sA+YiepMAhhuDurjwIjqnVNlolJret80ERyHiy47JB4JE/By3zuwPuERzAwfgpsCeuK20IFY1vcO1HFT26XUn9t09/OKuho8efK/UOvqmi0Dbxz2+8+l33Co8JJ9LuQGQ5OCif1Iu1vYjvZLIsQRpoUNxoar+1BeV9OixooABrlEhju6Dnd4XLUW7tJ9pjQdt4UNsnM01/RShjUbErpqZriuUdOZHNuyT6JaqzY6TCUwhv+l/YmELp2nynJ7oR4aYjdMGgHIhqF+KwFDBEAaA8j6OTIsQm5YXjIFPhr6APzkHgDqexMah1I8ZK74YPB9CFJ4m3yPWl0d/shLwnfph7A3/zw0Ytt32HYRLPvd+o/8s+26rDzczQ9eMtPFSXVcxACfSP33TXtrDBE5x4mSVFuEd8OjHhpiV0z5L/DiOQ1zaa7bL4nJwZRvdLoqo4R0ZN09g/DDmGewN/88jhWnQATHAO8I3BLcz+wqos0ZR/Bh8g5U6dT6ybFeMgWejLsNt4bGtzombxfLyklUaGuRWJqKgb7dWv1ZbSETpLizawI+T9ljsFaNhAkIVfhisN+1+Di3pKpNp1qb024ooSF2xaSRgP8W8MqPgJofAWgASAHXW+v3S5K2zw8mQm5kMkGKCcH9MCHY8t7RHzKPYdX5H/XfNz6Cy+tqsCzpO8gEiVXv11SIwgcyCKiD8b3ogPphsdOlGe2W0ADAfdFjcaE8G38VJkMA0w/dCWDwkinw1sB7mlVbjveNwp+FyUaL9Qlg6O8T4ZDYOztKaIjdMUkomHI5uNcrgKgCBC8wRsWnCHEWGlGLDy/tMNnm/eRfcXNQH4u2TmhqX/55rDr/o9lkppHQzj26MkGKtwbOxx95SdiccQQZVUXwkLlicsgA/C18KHxcPJq1vy10ED65/Ds0otZgUiOC467IUUY/r0xTjd15SSjVVCHAVYlxQb3hIaX95gyhhIY4DGMugKRLe4fR7uo0deAih4ur45fHEtIaR4uuoLzO9GrE/FoVzpRlNJs/Ys6fBRfxbOJGi7YaAOof/kP8oi1+f3uRMAETg/tjYnB/s229Xdzw5sB78PTJL6HlOogNc4Aai/L9PXqcwcrMnHN8kbIHX6TsgZbr9EUG3zj/Ex6PnYzZEQk2vy5nRwkNIQ5y6Ofj+PbNH3H2z4sAgIje4Zi1ZCom3TcOgkDz84l95dWUobyuBkEKb7MTW69XpqmyqF2putLi9+Sc492L22Hp/BEJE1qsOnIWw/174JtRS/B9xmHszT+POq5DH2UY7oxIMDp89t/U/fjkyu/67xuXeavFOrx54WcopHLc1lArh9SjhIYQB/jmjR/x2fNfNds4NON8FlYvWoOzf13E058/QpOjiV0cKryENZd34UJ5NoD6xGB8YB8sjp1kcYn+AIXSonaBZlZINXWxPAcZ1UUWtw9V+GLVgHkWt+9oQt188Y+4W/GPuFvNtq3RavBFyh6TbT669BumhAzQr1IjtGybELtLTUrHZ89/BQAQddfmCTQuP925fi/+3HKkXWIjnduu3DNYcmJ9s52hdVzE7vyzWHjoI+TWlFr0PoN8uyFA7mW0JB8DQ5R7AHp6hVocW4nGst6crm7+eKnPLHw18jH4u94YW6QcLEo2u5dUkboCSWUZDorIOVBCQ4gNnPwjCS9Nfx0z/RZiVpe/Y+U97yH52BUAwM9rdkEiNf6fmiAR8MOHvzoqVHKDqNVpsOLsVgBoMUdFx0WU19Xgw2TTE30bSZiA53rPQH3q0jytEcAgMIZne91uVS9jF7llyck/4qZgWtggh2xMeT2RizhWnIIfMo9hT95Z1FqwYaUtVNSZrppsbbsbBQ05EdJGG/+9Getf/hqCVICore+B2fftIezZ9Bee/PQhXD55FTqt8RUcok5Eyuk0B0VLbhR78s+hSqc2+np9T805qDTVULq4mX2/0QFxeHfQArxzcRvSqgr1x7t7BuHJnlOtXkrdwzMI3T0CkVJZYHRSsLfMDcP9bVdJvFanwY6c0/g1JxFlmmqEu/thetgQjOwS02J11uGiy1h+dgvya1X6Y24SFyzqfgvmRY606xBxqJuvhe1oV++mKKEhpA1O7z2H9S9/DQD6ZAYAdNr6IoJvL/oY3eOjTG/RC8BF7vjfPknnlllVDCkToOXGk2kdF5FfW2ZRQgMACV1iMNy/By5X5KFYXYEAVy9Eewa1Kj7GGJ7qOQ2Lj38BkbfsRQKAJ3veBpmFVYTNKaotx8PHPkN6VREYGDg40qsKsb/gAsYG9MKKAXdBKtRXNT9ZchVLjq9vEVG1ToP3krdDy3VY0G2MTeIyZJBvFIJcvZFfqzL49yKAIU4Zim4egXaLwRlRQkNIG2z9YDskUsF4DwwHrpw0XdZckAoYPcvx++fcSKorarDv24PIvpwLd6U7bpo9HKHdg9s7LJN0XMShwkvYk38ONToNIt27YHrYYIsn3nrIXKGzYJsAdytrmjDGEOMVDMD439/BwmRsTPsTp0rSwAEM8InE3VGjMLJLbLN2g/y64f3B9+HN8z816/UJdFXiH3G34pagvlbF1lRKRT525JxCiaYSga5K/FWYjKzqEgDXkqfGonj7Cs7j85TdeLDHBADAexd/bdbuep9e+QOzwofBQ2afejACE/Bin5lYcmIDOEezfbcEMMgEKZ7rNd0un+3MGG/PjTHsoLy8HEqlEiqVCl5eN8YEMtJ+Zgc9gLIClfmGRjDGIHWRYO3ptxEWE2LDyEijPzYewDsPfgJ1jRpSqQSiyCHqRNwy/yY8sfahDtk7VqKuxOPH1+FSRS4kTIDIuX7myhM9p2JOxAiz75FXU4bp+940+lBmYIjxDMaXIxfbMHLgi5Q9WHN5FwTGmtRcYdBxjge734L7u49vcQ7nHBfKs5Ffq4Kviwf6eoebLNCnFXXYX3AB27JPokhdgUBXJW4PG4wRXWIgco4V57bil+yT+hVAIr9+K86WPKSu+HXcCyioLcesA2+bvc6X+szCNDtvlHmqNA0fJv+GM2Xp+mPD/LrjsdjJiPHqfD8v2vr8ph4aQtqg6TJsS0mkQv1vXaIIV3c5Xtn8NCUzdnJk+0m8fu/7+uE+bd21/cT+2HgAjDE8u962D/S24pzjqZP/RUrDzs6N9UcaH8hvX/gFwQofg8XYmgpSeGNG2GD8kHXcYFLDwfFQzASbxp5UloE1l3cBgD6ZAaDvKfrkyu8Y4heNfteV+meMWVxjpkqrxpLj63G6LF2/9UByeQ72FpxHgn8PdHXzx7bskw2fa1n1YQCo1NbiSkWeRedImGDxKq22GOATic+GP4jcmlKUaqrgL/dEgKtlS+hvRLTKiZA2GDol3uQKpusxxjBq1jCMmzsSi9+/H5uyPsGgCearjZLW2fDKN0Ynb3KRY9eX+5CTkufgqExLLE3FOVWW0QerAGa2RkmjZ3rdjhlhg8HAIIBB2tBjoZC44LV+d7YYAmqr7zMOm6yLImECvss43KbPWHl2q365snjd0NHhoiv4NuNQq7d65AC6WLA0XMdFBDhwCXmwwge9lGGUzJhBPTSEtMHMx2/Fzg17LW7POcecZ2agx0DalNPeCjIKcfnEVZNtBEHAgc1HMOfZjjMf4UDBRX1ZfENEcJxXZaFMUw1vM5N5pYIEL/SZiYXRY7E77xwqtTUIdfPDzYF9oJDafuuNpLIMkz0cOi62qXZKSkU+duadMfq6pVsoGKKQuCDaIxAKqQvifSJxujQdxgaqFBIXjA3o3erPIvZBCQ0hbdCtXwSe//JxrLr3fYg6DkumpHl4uzsgMlKlqjbbRhAYqsvNt7MXkYs4WpyCM6XpkDABQ/yiodbVGS1g15RGrLP4c4IVPrg7yvgGiLYiY+YfKbKGlUTWyq8pw0NHP23VueYwMPwtfKg+yftH3K34vyNroRV1BpOaf8ROsUtCSNqGEhpC2mjc3JHoObwHvn/7Z/z4H+OFypjA0H1AFIK70VJLRwjo6g+pTNJs3sz1tHU6hPZon9VOKRX5eCbxK2RVF+uHaT658juCXb1NLrUGAKXMDb7X7ercEYzoEoO0qgKT/SSWJD2GvHj6a7MbZFqrcQ7OIN8oPNTj2nyiXsowfDJ0EVad/7FZleUuci88GjMJt4bG2zQOYhuU0BBiA0GRAVj8wf31VX8/2I4WHTUNdWjuW35Xe4R3Q3JXumPs3JHYs+lPw8vqGaDwcMVNsx2/a3GRugIPHf0Uldr6B3TTYZq8WtOr5gQw3NF1mL5mSkfAOce6q3vxffphs4M+VyrzkF1dYnHxOAC4VJ6LM1YMVRkr+ySAIdTNFzImgaquGqFuvpgZPhSTgvu3+Pvs7R2O/45YjCsVecipKYWXTIG+3l07xd5J58oycaDwIjSiFjGewRgX2BvydqjEbGuU0BBiQw++dS/AgB8/3AEucggSATqtDu5KNzyx5kEMmTSgvUO8ody/Yh4S/0hCWYGqWVIjCAycA099+jBc3eQOj2tzxmFU1NUYHM5oOg+ksQBc0+/7eIdjQbexjgjTYmsu78K6q3stbv/+xV/xrwFz4GJB0bz0ykIsS/rOovcVwDDUrztOl6VDI2qbJYoSJsBLpsD7g+8zmkypNNVIrSqAiyBFjGcwpIIE3T2D0N0zCCIXcbz4Ki5X5EIukWFkl1iLN/fsKMo01Xj+1EacLEmFhAlgALRchJdMgRX978JQ/+7tHWKb2LUOzfLly7Ft2zacOnUKLi4uKCsrM3sO5xyvvvoq1q5di9LSUgwbNgz/+c9/0Lu3ZROwqA6Nc8hJyUPa2UzI3VzQd3RPuLh2rvHokrxSHNh8BJVlVQiJDsLIGUM63TU6i6LsYqz759fYvelPaDVaAEDPhBgsWHZnu60wm7HvTeRYuDFk47BIoKsSs7sm4M6IhHbZ18iYInUFpu1dZdUSaQDo590VHwz+u8m5KGmVBfj74Y9RpdVYNOE3ROGDDQmPoqyuGutS9mBn7hlouQ5yQYqpoQNxX7exBgsTlmmq8O7FbQ3t66/D18UD93a7CXdFjMSF8mwsPbUJOTWlEJokmROD+2Np7xnYV3Ae/0v7CxlVRXCVuGB8UG/MiRiJCHd/q/5O7EnkIu4/vAYXy3Na3CvWsAJu/YhH0MOz/QpOtvX5bdeE5pVXXoG3tzeysrLw+eefW5TQrFq1CsuXL8f69esRExODf//739i/fz+Sk5Ph6elp9nxKaDq23Kv5eOfBT5D4R5L+mLvSDXc+Mx1zn58BQXD+7lzSMVWVV6MouwTuXgr4h/q1ayyjd74Mtag1246BIcojABsSHumwQwLfpB3E6ovbrF5hJIBhVtdheKbX7UbbPH5sHY6VXLGo4rGMSfDT2GfhJ7/2nNCIWlRpa+EpVRgdoquoq8F9hz5Gdk2JwaRsakg8duefg1pX16JHjQFwFVxQI2quO84gEyR4e+B8DLPhXlRtcajwEv5xYr3R1yVMwC1BffGv/nMcF9R12vr8tuvT49VXX8UTTzyBvn0tK1/NOce7776LF198EX/729/Qp08fbNiwAdXV1fjf//5nz1CJAxRmFeOxhKU4vfdcs+NVqmqs++cmrHlqQztFRm4E7l5uiOgZ1u7JTGVdLTQWJDNA/fDT1cp8i3tz2kOxphKSVmzUKILjp6zjqNQa3jE6v6YMh4svW5TMMDDMiRzRLJkBABdBCh8XD5PzjTal/YWs6mKjPUzbchINJjNA/Tyd65OZ+uMcGlGL5xI3Gr0+R/sj/6zJ+T86LuKPvLMQrexp60g61K/DqampyMvLw8SJE/XH5HI5xowZg4MHDxo8R61Wo7y8vNkX6Zg2rdyKytJKiDrD/8FsfW87si7nOjgqQhxrX8F5q6ulqOrab2m5OQGuXlYPNzVSi1pcqTBc2DDbiiSuv08E/F088W36IVxtqLBsqS2ZR43Wm2lkfuMEw6p1Gvyandiqc22tWqtuVr3ZEC3XmV1h15F1qIQmL6/+H3ZgYPNlrYGBgfrXrrdy5UoolUr9V3h4uN3jJNbTaXXYuWGv8U0cUb8lwC4ritQR4ix0XEStTgPOOco01RbVmWkq2NXbHmHZxC1B/SBlrV9xJRj52/C0cONHXxd3nCpNw3vJv+LtC79g7p/vYfGxz1GiNr81gVbU2XULAwbgrCrTbu9vja7u/mb/3fnLPS2aqN1RWZ3QLFu2DIwxk1/Hjx9vU1DXlyrnnBstX/7CCy9ApVLpvzIzO8Y/HtJcVXk11NVqk204gMLsYscERIgDJJfnYOmpTRi182XctGsZbt2zEudVmRb/vi+AYYhftMU7bLcHbxc3PBwz0XxDA9wl8oadu1vq7hGEcDfzw4NlmvreK97wfwBwoiQVjxz7DGqd6eKDEiZAIbHfZH3e8Bn2VCdqkVSWgZMlqfq/C0Omhw02+e+OgWF2V8eXMLAlq1OxxYsXY+7cuSbbREZGtiqYoKAgAPU9NcHB1/6RFxQUtOi1aSSXyyGXO37ZJbGOm6cCMrkUdWrjcwcYAJ8Ab4fFRIg9HS66jCdPbADHtTozxZpK/J6XpF+5ZIoABrlEhifjpjog2ra5J2o0FBIXrL3yO0o1Vfrj7hI5anQao9c6OqAnXI0kFIwxPBwzEUtPbTL52YbeW8dFXK0swO95SZgaOtDouYwxTAkZgB+zjpscNrPkfhkz1M8+S6FFLuLL1AP4KvWAfkhSygRMDO6PJXFTW2yLEazwweLYSfggeUeLcgACGGK9QjDXgl3cOzKrExp/f3/4+9tnKVpUVBSCgoKwa9cuxMfXV2LUaDTYt28fVq1aZZfPJI4hlUkxft5o/P7lPqPDTjqtiFvm3+TgyAixvVpdHZae2gQd5y1W//Am/2vKIL9ueDJuKqI9g+wSo63N6joM08MG40xZOiq1aoS5+cLHxR0PH/kMV6sKDJ6zI/cUBvpGYUb4EIOv9/eOgIfUtVUTaxkYtuckmkxoAGB+1E34Lec0akRNizkmAhj6+0SgoFaFvFqV1XOFvKQKjA/qY3Xslnjz/E/YnHm02TEtF/Fb7mmcV2Xhi4SH4SFtPmw3P+omBLl644uUPfrd3N2lcswMG4oHuo93+u0c7DpYlpGRgZKSEmRkZECn0+HUqVMAgO7du8PDo75sd1xcHFauXImZM2eCMYYlS5ZgxYoV6NGjB3r06IEVK1bAzc0N8+bNs2eoxAHmLf0b/txyBDWVtS0mBjPGcMv8mxDVp2s7RUeI7ezOO2vyIcwByAUpurh6Iau6RH88xjMYd3QdjuH+PRDUgYeZjJEKEgz0bb7x6j3dRuO1pM1Gz1lxbisyqorwcMwEyK6bv/HhpR2o0bVcRWQJDm52Ho1W1CG5PAfdPYNwTpUFEbpmVYbHBfXGS31moUanwbsXt+P3vCR9UuPj4o4qrdroijUJE/DR0PvtMicluTynRTLTSMdFZFQV4Zv0g7g/enyL1ycE98MtQX1RoC6HRqdFoELp1PNmmrLrVbz88svYsOHaUtzGXpc9e/Zg7NixAIDk5GSoVNdKfT/77LOoqanBI488oi+st3PnTotq0JCOLSQ6CO/sfw2r7v0AKafT9celLlJMf3QyFq26px2jI8R2LlfkQsoEkytG1KIW7w1aiBqdBmWaagQpvNHVQCG2o8VXsDH1AI4XX4UIjr7eXTEvchTGBPQ0OrewI1lzaZfZNl+lHUByRQ7eHbRAn9RU1NVgZ+6ZVq+gEsBMzsGp0WrwxIkNOFmaqh9SahyKCVH44M34e9CjYX6Pm1SOf/Wfg6d63oa0qkLIBRlivIJxpSIPzyZ+hdyasmaJUJibH94fvBBhFswBao2fso6b3ZH9h8xjBhMaoP4XyEBXpV1ia092LazXHqiwXsfHOcelE1eRdjYDcoULBk3sD0+fjrfRHiGttebyLmy4us/sw/iXsc8hwMSDZVPaX3jn4jZIwKBreFw2PnznR92Ex2In2zRuWzuvysLCQx9Z1JYBeKrnNNwZUT8x9VJ5Lu45+EGbPn/1wHsxKiDO4GvLz27Bz1knDM6NEcAwIbgf/tV/DjjnqNKpIYFgcEhG5CIOF13GeVUWpEyChC4xiPUKaVPc5jxxYgP+Kkw22YaB4fCkfztF0tuorc/vztHPRJwKYwyxg6MROzi6vUMhxC5uCuiJL1L2GH2dgaG7ZxC6yI3/0L5ckYt3Lm4DAH0yA1ybBPtl6n4M8YvG8A5SidaQ79IPWdyWN7RvTGjcpZYt9jC0ESVD/YTjEV1iDJ5TpqnCL9knjU70FcGxM/c0oj0C8XP2CWRW16++7K0Mw73dxmBc4LWteAQmYESXWIzoEmtRvLaglLmZ7KEBAA+pq1MlM7bQoerQEEJIZ9BLGYaBvlFGl+xycPw9eqzJB87mjCMml/xKmGBVwmBPtbo6nCnNwKnStGZzh6ytwZJRXaSvVBui8EF3j0AwM9VTJocMgLzJHBB3iRwLuo3B6wPmQTDy93emLMNs7xkH8NHlnciqvlZK4oIqG88lbsS6lL2WXZCdTA4ZYDJ+CRPMToa2ho6LOFBwAasvbMPqC7/g97wkaEWdzd7fVqiHhhBC7GDVgLvx5MkNSCrLhIQJaDq6/3jcFNwcZHpLmLNlmSYfWjoutnvRNq2ow2cpu/FN+kFUaevrTMkFKW4PG4zFMZOtnmwqE6T6JIQxhgd7TMAziV8ZbMtQv+R6Wb/ZeKbX7bhSkQcBDDFewUaXgjcyVzG3qaYtG3t0Pr68E6MD4tC9nVagDfWLxkCfKJwqTWvRyySAwV0qx7zIkTb5rPTKQiw5sQHZNSWQNtybr9MPwl/uidUD70WcMtQmn2MLlNAQQogdKF3c8OmwB3G8+Cr+yEtClU6NCPcuuD10kEWF8ixJBmRtqNDbVpxzvHT6G+zOP9vskaoWtdiccQQXy3MwskssUiryLarhImECbr5uifOILjG4I3wYtmYdg46LkIABjEHHRUwM7oelfWYCqB9eGeATqT+voq4G27JPYm/Beah1deipDMWs8GH6JfC9lWFtqi0jYQK2ZB7Bs72mt+r8thKYgLcH3Yt/JW3G7vyzYKhP8ERwdHX3x8oBd9lklVxFXQ0eOvopyhrq3DSd5F6irsQjxz7Ht6OWwN+1Y8xXpYSGEELsRGAChvp3x1B/64urjQ7oiXOqLKO7WEuYgDGBvdoaYqsdKb6CP/LPGnxNBEdSWQbGBPSEXCIzurljI9bwdXfkaP2xQ4WXsCzpO5RqqvRDbzpwxHkE4+W+d6C7l+HekcsVuXj06OdQ1VXrP/FieQ6+zziCx2On4J6o0eji6oWeyjCca2UPl46LuFTevvvOuUvleD1+HrKrS3Co6BLqRB3ivEIwwCfSZnNntmWfRImm0uCdE8FRrVVjS+ZR/F+PW2zyeW1Fc2gIIaQDmh42GG4SF4N7HTHUDy3c2Y6l6n/MPGZyl20GYFdeEt4dtAAKqYvBmTCN16aQuODNgfP12yCcKU3Hkyf/i7KGqsNNh96SK3LxVdoBg59Zq6vDY8fWobyuptlDuPH895N/xV+Fyfhf2p8mkxlj+0s1vTZzw1qOEurmizu6DsddkSMR7xtl04nAu3LPmOzDEsHxW+5pm31eW1EPDSGEdEC+cg+8P+Q+/OP4elQ1TLTlqB9acBEkeD3+bkR4dGm3+LKqS6AzMReFA8itKUW8bxR+GvMstmWfxImSVIhchJ/cA2iY7hvrFYLJIQPg1mRV09orf4Bzw31THBzbcxJxX/Q4RFxXt+f3vCSTm00KYPjiym6cU2UZbcMARLp3QWpVgdGHOQearXTqrKp0pvffA+p3FO8oKKEhhJAOqq931/pkIOckjhenQOQc/XwicHvYIPi4tG/tJh8Xd7PzUJSy+v2EPGUKzI0cibkWTFRVaapxtPiKyTYSJmBX7mk80P3mZsePFl0xGZMIjiRVpsn+Fw6YTGYaP39ScD+TMXYG0R5BSK8qMjo5XQBDtEeAg6MyjhIaQgjpwDxkrpgTMQJzOtjGgVNCB+Bw8WWjrzOgVUuHLdm3iQEor6tpcVy0sKrw9ZszXs/cVGEdF/Fc4kakVxWBMYahft0xJyIBMXYuqOdos7oOw668M0ZfF8Exq+twB0ZkGs2hIYQQYrWxgb2hMDGPRMIk8JC6YtHhTzB59wrceeAdrEvZq58XY4yviwekZlZv6ThHqMK3xfE+3uEmExUBDD4yd5vMMzlechUF6nLk16qwPScR8w/+B79knWjz+3Yk8T6RmG0iYZkY3A9jAno6MCLTqIeGEEI6sTJNFX7MOo7fck6jSluLKI8AzOo6DKO6xLXpwX648JLJjSO1XIe3LvysHwIq0VRizeVd+Db9ID4Z9n8G9626VJ6LFee2QsvNF20bH9QHnNevptqVdwYVdbUIdK3faFEj6gwmNiI47ogYhk+v7LbuYg0wNOn432e3oLd3OKI60DBMWzDG8HTPaejhGYwvU/frKyYHuXpjXuRIzI5IMFq8sD1QQkMIIZ3U1cp8PHz0M5RpqvUP+Hy1CgeLLmFScH8s6zcbEibgamU+tmQcxYXybMgFKW4K6ImpoQPhKVMYfe+tWccsquXS9HUOjrK6ajyb+BU2jfxHs4QqtbIAi458ArWuzux1cXB8cvl35NeW4UjxFf2y7saJxIwBAq5tDdAY54ywwXgg+mZcVOXgr8LkVtehMYYxhu8zDuOZXrfb9H3bE2MMM8KHYHrYYBSrK8AB+Mk9OlQi04gSGkII6YR0XMRTJ75EeV11s96Kxiq5v+WeRpxXKBgD3r24vdneQCdKruKLlD34cMj9+qXU18uuLmlVQqDjIq5WFiCxNA0DfaP0xz+6tNNsvZqmfs4+3uw9m+IcGOrXDSkV+dCIWsR6hWB2RALGBvQCYwz/7j8Xr539Hn/kGa6j01o6LuJ48VWbvmdHwRjrMAX0jKGEhhBCOqFDhZeQXVNiss36q3uhaqgC2zQp4ABUddV4/PgX+GHMs3CVyJqdd6k8FwW15a2OTcIEnC5N1yc0P2Uex76C81a9h6m0hwH1c1vGvWBwWE0hdcHKAfPwS9YJvHZ2s1Wfa84Nth9kh9Lx+owIIYS02cnSVP3eO8ao6qqNLmHmAEo0VdiZ07xw2tXKfPz98MdQi+aHhozhnOs/95u0g/j3uS2tfi+D7w8gvapIP+fDmFtD4xHu5meykJ6fiwe8pAoEK3wQ4xlssq2EMQz3b77D95WKPBwouIiksgyLV2GR1qEeGkIIcaCMqiLsKziPGq0G3TwDMSagJ2RWbuLYqHHDS0O9EOZ2qda/h5nXt2Ydxe3hg/Xff5j8GzSi1uIYDRHBMdgvGsXqCrybvL1N72WKuaRLYAJWxd+Nh45+isq6WoMbPRZrKiETJBjt0xO+Lu64VGF4ywPW8L93dB0GADhTmoE3z/+E5IocfZsgV288FjsZE26AGjbtgRIaQghxgFqdBq8lbcbveUkQwCAwBi0X4S1zw2v952C4fw+L32tf/nn8L+1PnCpNBwPQ3ycCd0eNxk1NltAO8o3Cl6n72xx3amVBfY8KY1BpqvFX4cU2vZ+ECYjzCkFvZRi+SjvQbBdyS1kyGdlFkCLEwNLu63X3DML/Rj6Ob9MPYXtOIirqaqDlIkTO9Z9RJ+qwLeckgPrE5fpPZqhPjlYMuAthbn5IKsvAw0c/bTG3J6+2DC+e/hp1og63hsZbernEQjTkRAghDvDi6W+wu2ESqgiu37lYVVeDJ05swHkT5fib+uTyLjyT+BVOl6aDo/6he7o0HU+f/BJrL/+ub+fj4mF2TyI3C/YjqtZpkFNTCgBGNyo0ZETD0EvjCqTGSIJdvbEq/m4wxpBZVQzBykknEibAU6aAl0xhtBdKwhimhg6Ee5PtFEwJcFVicexkbB/3Agb5dgMAo/VsDB31dnHHd6Oe0G+H8M6FbdBx0WjS9faFny1azUWsQz00hBBiZxdU2ThQcMHgaw0LjfFFyh68NXC+yfdJLEnF5yl7ADRfDt34589SdmO4fw+EKHyw+NjnJovMTQjqh2qdGn8VJpuNv65hiMnbxc1s20YLo8ZiTsQI/JB1DOlVRVDKFJgcMgCTgwdAIa1PpDxkrhYlSHJBCrWohbtEjmlhg3B31GikVxXiieMbIII36wkRwBCq8MPDPSZaFKdW1OFEyVWo6qohE6Q4WHTJ4mtsVKqpQrGmEmHufkivKsJZM7t4V2hr8WfhRdwc1NfqzyLGUUJDCCF2tivvTLNl0dfTcREHCi6iRqvRP+wN+T7jsMn3kTAB32UcRqibL6q0apPJQl9lOPxdvcwmNO5SOYIVPgDqe318XdxRYqbaLwAklqXhvuixSOgSY7TNxKB++CrV8M7ZQP0QwnD/GLw7eCG0og5S4VoF4UBXJb5IeBjrU/ZiT/45iODwlLpiZvhQ3NttDLxM1NBp9GPWcXx06TeUWnA9pghgOFWahv4+ESioVVnUvi2rxIhhlNAQQoidVdaZ35+Ig6NapzaZ0JxTZRlNZoD6xOicKhPnVFlm55j8np+ENUMXwcfFHWWaKoOtBTDMDB8KecOy7RqtBuUWXAsDUGpi1+tGccpQjA7oib8KLraIl4GBMYZFDRtQNk1mGsV6hWBl/DzUiVrU6urgLpVbXPDt+4zDeOP8Txa1tYavi7vZNiI4fCxoR6xDc2gIIcTOwtz8zE5+dZO46HenNsbFgtVQLoIUNVq12XZVWjWkggSr4u+GiyDTz3VpxMDQUxmKRdHXdrQuqFVZtC0BR30PiiWW95+DcUH1c08EMP1Scy+ZK1YPvBe9vcPNvodMkMJTprA4manRavBB8g6L2lpCBMfghrk33TwCEe0RaHKVmULi0mwCN7EN6qEhhBA7uzU0Hh9f3llfwtYAAQy3hw0x2AvR1NjAXvjv1f1Ge18EMIwN7I0zpekoLaky2k7CBER7BgIABvhE4qsRi/FV2gHszD2DGp0GoQof3NF1OGZ1Hd6sqJ6rid6jphgYJoUMsKitq6S+yF16VRH25Z9HYa0K6VVFOKfKxFMnv0SYmy9mdR2GmeFDLUroLLGv4LzJfaisIWECenqF6hMvxhgej52CJSc2GFwRBQAP9rgFbgYmLGtELXbnncXBwkvQch16KkMxLXQQvKk3xyKMt2bNXAdWXl4OpVIJlUoFL6+OXaaZEHLj2JT2F965uK3FQ07CBAS6KrE+4RGzD678mjLMPvAO1KK2xYRfAQxyiQzfjn4C58oy8fyp/5l8r/8MuR9D/KJbHG9com3M/L8+xKWKXJMTjmd3Hd6q/YzOlWXikWOfQyNqmw2tMQC9leF4rf8cBLkqzSZ+5mxMPYAPkneYHZYTGvpZOK5NvG5cMt54PEzhi4+HLWrRI3Wg4AJWnvsBReoK/TF3iRwP9rgFcyJGtPg7TqsswOJj61CgVkFgTJ/7SgUB/+o3B+OD+rTpmp1BW5/flNAQQoiD7Mw9jU+v/IH0qiIAgIxJMDlkAB6NmQRfuYdF73Gy5CqePPElanRqXFsMzeEmlWP1wHsR7xsFkYt46fQ32JWXZPR9fF08sDh2Mm4LHWjVNewvuICnT35p9PXuHoHYOPJxszt559eU4awqEwwM/X0ioJS5Yfq+N1CsrjSZaLhL5JgRPgT3RY+zaOKvITtyTuHlM9+abTczfChqdRr4uHhgcnB/FGsqsTXzKDKqiqCUuWFKyABMCYk3Ou9Jx0UcLbqCvNoyeMvckNAltsU2EkB9jaJZ+1ejRFPZYo4UQ32P1/qERxCnDG3V9ToLSmiuQwkNIaQj45wjs7q4YWjHFx4yV6vfo7KuFttyTiKxJA0AMNA3CreGxDd7Lx0X8XXaX9hwdR/KGvZrMmRp75mYET7Eqs//IfMY3jz/E7RcbOhNqK+HM8I/BisG3GVwOKVRmaYar5/bij355/W9PBImYIBPJE6UWLaxowCGru7++Gz4Q61Kamq0Gkzes8LosJMAhlivEGwY8ajV790aP2edwL9M7CklYQImBPXFa/3nOCSe9kIJzXUooSGEkGvMDRG5S+X4ddxSgz0H1ytWV+CnrBNILs8GB+AqyCCXyOAlU+CWoL5mexBqdRrcd+hjpFUVGuyJsOZhJDCG2V2H46me06w465rv0g/hzQs/tzjOGqo4/2fI/c12A7enZ09+hX0FF0wO4ykkLtg3YZlD4mkvbX1+06RgQgjppFIrC5rtJWRIlVaNAwUXzO4vtCPnFF5L+h4ibywFWD+vJNjVGx8OuR/h7n5m4/kl+ySuVuYbfGxb+5u1yDl+yjqBxTGT9cvKrTE7IgFSQYKPLu3U7zgOAKFuvnih9wyHJTMADM6Jul5dG/fPuhFQQkMIIZ1U0wmpxghgZtudKc3AK2e+a/bQbfxTgbocjx77HN/f9KTZVUg/Zh4zG481anQaFKrLEebWMpnSijrk1JRCYAzBCp8Wy9KB+jkyt4UOxPHi+krBIQof9PXuanb+j63FeoXgSNFlo3OHGBi6ewY7NCZnRAkNIYR0Un4WTDQWweEv9zTZ5qvU/RAYg87ADAUdF5FXW4bdeWcx2cxS7UJ1hdU9Mea4XrcflVbUYcPVffgm/aB+7lCA3At3R43GnIiEFrVqZILUZDVjR5gRNgT/vbrP6OscHHMiEhwYkXOiwnqEENJJdfMIRIxnsMkib+4SOUYHxBl9nXOOPwsvmqxQLIDhTwt24e5iJnESwKBoSFDM9ZEwMPRWhjVLxnRcxHOJG7H2yh/NJkIXqMvxzsVtWHF2a6t297a3EDcfPNd7OgA021C08U8TgvpiioV1fW5kdk1oli9fjhEjRsDNzQ3e3t4WnbNw4UIwxpp9DR8+3J5hEkJIp7Uk7lb90l9DHo2d1KKXoyneZGdwY0RwaCyY43F72GCTiYoIjhd6z8DKAXdhXGAfKGUKo+05OO6PHt/s2O+5SThQeNHofJSfsk9YvJLK0WaGD8V/htyPYf499PcqyiMAS3vPxL/6z7G4CvKNzK5DThqNBrNnz0ZCQgI+//xzi8+bPHky1q1bp//excWy6pSEEEKaG+wXjXcHL8Sqcz8iu6ZEf9xb5oZHYiaZXbItMAHdPAKQWllgdLhIAEOsZ4jZWG4LHYTNmUeQXlXUosdHAENv73DcEtQXUkGCm4P6olJbixcS/4cjxVcgYfV9FzrOIWUCnu09HaOu61nanHlEX/jOEAkTsDXzGAYbKCjYEQzxi8YQv2jouAjOeZsLCN5o7JrQvPrqqwCA9evXW3WeXC5HUFCQHSIihBDriVzE3vzz+C7jEC5X5MFVkOHmoL64MyIBoW6+7R2eWcP9e2DLTU/hdFk68mrKoJS5YYhftMUPzDkRI7Dy3A9GX2eMYXrYYLPvo5C6YM3Q/8OKs1uaLVMWwDAppD+e6zW9WUweUld8MOTvOK/Kwu95SajWqhHh3gVTQuLh7dJy36v0qkKTRfl0XERqZYHZONubhAnmx9xICx1yUvDevXsREBAAb29vjBkzBsuXL0dAQIDBtmq1Gmr1tY3YystpS3ZCiO2IXMSypO+xI+eU/rf/ctTgm4yD2Jp5FO8PuQ8DfCLbO0yzGGP1cfpYf+7tYYNxpOgyduefa1YvRsKE+qrEfWbB39WyuiHeLm54Y+A9yKspQ1JZhj4uUxOTeynD0EsZZva93SRylKLKZJs6TsufW6usUIUdX+zBhcOXIEgEDLylH265ZzQUHq2r2GxrHS6hmTJlCmbPno2IiAikpqbipZdewvjx43HixAnI5S2rT65cuVLfE0QIIba2JfModuScAoBmv/2LnEPDtXj65Jf4ZexzJuehODsJE7B8wF34Kes4vkk/iKuVBZAwASO7xOKeqNGtSuiCFN4IUnjbNM5uHgHNhtUMqdHaZlPKG82hn4/j33NWo06j1e/39efWI1j3z01YueOfiB3c/sN4VlcKXrZsmdkE4tixYxg8+Fr34/r167FkyRKUlZVZHWBubi4iIiLw9ddf429/+1uL1w310ISHh1OlYEJIm3HOMevAamRXF5tcbvxSn1mYFjbIYXG1Nx0X6zduZAxJZRn4Jv0gTpakAgAS/GMwJyIBMV6m59RwzpFYmorE0jQwMAzy7YZ+bawBszRxE37PN75/VaP9E5Z16gTU1tLPZ+LBAc9Ap9O1qIAoSAS4eSmw4fIH8PI1vYrNHIdXCl68eDHmzp1rsk1kZKTVgRgTHByMiIgIXL582eDrcrncYM8NIYS0VYW2FlnVxSbbSJiAM2XpN1RC01ik7uu0v7D64jZImKCf5Ls9JxG/ZJ/ES31nGd34MrOqGM8mfoWUynz9e63huxDrGYI3Bt6NYEUrxsUAyCUyk5OCr6EJKtbY+t52ANxgOWdRJ6KqrBo71+/FHU+2bhsKW7E6ofH394e/v789YjGouLgYmZmZCA6mKomEEMcSLOwtuBGX1J4ty8Tqi9sAoNmKpcY//ztpM/oqwxHh0aXZeSpNNR48uhalmqoW516pzMODRz7F/0Y9Dg+p9Zt2DvKNwrack0ZfZ2CI9Qq2aN+qpkQuYn/BBfyQeQw5NSXwkrlhVJc4TA8fDB8Xy3ZJd2Z//XgMOq3xpfuccxz6+Xi7JzR2/a8wIyMDp06dQkZGBnQ6HU6dOoVTp06hsrJS3yYuLg5bt24FAFRWVuLpp5/GoUOHkJaWhr1792LatGnw9/fHzJkz7RkqIYS04CF1RaxniMnCdDouYmgHXQZsD7U6DX7OOoHnEzeabMcYw/eZh1sc/zHrOIrVlQYL9em4iPzaMmzPTmxVbLcE94O3zK1ZcbqmODjuiRpt1XumVhZg+r438WziRhwsuoS0qiKcKcvAR5d34rY9q7C/4EKrYnUm2jrzE6k1tXUOiMQ0uyY0L7/8MuLj4/HKK6+gsrIS8fHxiI+Px/Hjx/VtkpOToVKpAAASiQRJSUmYPn06YmJisGDBAsTExODQoUPw9Gzb2BwhhLTG/G6jjRZqkzCGIFclxgT0cnBU7SO9shCz9q/Gv85uRoHa9IpSHRdxomFeTVM7ck6Z3IiRN7RpDVeJDO8OXgg3qbxZUtM4rDU/6iZMCDK9CWdTZZoqPHhkLfJrVQZfr+M6PHvyK6RU5LUqXmcROzgagsR4uiCRCogb2t2BERlm11VO69evN1uDpumcZIVCgd9++82eIRFCiFUmBvfH1coCfJGyp9lcEQZAKXPHe4PvuyEKoGlELRYf/wIlmkrzjRsY6ikp19aYPa/p7tfW6qUMw3ejn8APWcewO+8canUaxHmFYlbXYVbvoL0185jZWDiAr9MP4sU+LRetdBYzHrsVJ3adMfq6TifitocmOjAiwzrcsm1CCOloHuoxATcF9MTWjKO4VJELhcQF44J6Y2rIQHjIrJ/r4Yz25J0z2lNhiACG4f49WhyPcPdHUW25yWq+ke5dDL5mKT+5J+6PHt9iawRr/ZZzyuz0Yg6O/QUX8GKbPqljGzZ1IKYvnowfP9wBQWAQxYaCiBIBok7Eo+/+HRE9zdcJsjdKaAghxAK9lGHo1bf9f2gb0rgE+lJ5LuQSGUZ0iUWgq9Kmn3Gw6FKzHipzJEzArK7DWhyfGT4Ux4pTjJ6n4yJmhA9tdZy2VKGttahdnaizcyTtizGGR9/7O/qO6onN721D8tErEASG+Fv6YfZT0xA/vm97hwiAEhpCCHFqF1TZeOn0N8ioLgIDAweHAIYpIfF4rvd0q1f0GKMVtRbtVM0ASJkEr8fPM7j8elxgb4zqEoe/CpNbzKVhAMYH9sHILjE2ibmtojy6oEhdbraXpqcy1CHxtCfGGMbcOQJj7hyh/3fQlppB9kAJDSGEOKmMqiI8dPRTqHX1K0waEwQRHL/mJKJCW4M34++xyYPHX+5ltr6LiyDFvMiR+Fv4MKNVgCVMwKr4eViXshffph/Sz6nxlrlhTuQILIga02GWwc8KH4ajJnqTGt3ZNcEB0XQcHS2RaUQJDSGEOKkNV/dBI2oNJhpiw9yO86os9PYOb9PnXCjLwnfpB822e6rnbZhpwXCRTJDi/3rcgoXRY5FeVQgGhgh3f8iEjvVIGhPYC+MCe2NP/jmjbWaFDcVNAT0dGBUxpmP96yGEEGIRHRexI/eUyTktEibg15xTJhMarajDseIU5NeqoHRxQ4J/jH6YSq2rw3cZh/GfS79BZ6Z35pbAPhbtuN2UiyBFD8+OWzRVYAKW95+Lr1IP4MvUA6hoskIr0FWJxTGTMDG4f4ftsbjRUEJDCCFOSK2rMzsZlXNuctnxvvzzWHX+RxSpK/TH3KVyPNJjIqI9A/HMya8snhg7Ibh/hxkqsiWpIMHC6LG4J2o0smtKAc4R6uZ7QyzVdzaU0BBCiBNSSFzgIXVFpYmEgzGGIFdvg68dLEzGs4kbW0zMrdKq8eaFnyG1YkUTA0OBFUu6nZFUkCDC3XHb/hDrdb50mhBCbgCMMcwIG2K0zD9QPyx1m4FNMznnePdiw4aDRmi5+S0e9e8HDqWLm4WtnUNRbTnOq7KQU13a3qEQC1EPDSGEOKn53Ubj97wkFKrLDfam3BM12mCvwuWKXKRVFdosDrkgw6iAOJu9X3tKqcjHB8m/4lDRJX1C10cZjsWxkzDQt1u7xkZMo4SGEEKclI+LB74Y/hDevvAL9uSf06928nFxx8JuYzE3YoTB80oadrq2lfujx5ndHVsr6vBnYTJ25Z6Gqq4GXd39MD1sCGK9QmwaS1tcqcjD/YfXQC3WNeudOq/KwiNHP8fqQfdiRJfYdouPmEYJDSGEODF/Vy+sjJ+HInUF0ioLIJfI0NMr1OSk1QBXL5t9/rSQQVjQbYzJNmWaajx+/AtcLM+BwBhEznGi5Cq+zziCuREj8UTcrRavFLpSkYfTpelgAAb5Rdt0Xsub53+CWqyDeF0BQREcDMC/z27Bz2Of0292SToWSmgIIaQT8Jd7wl/uaVHbbh6BiPMKwaXyXLPF8ky5OagP/tn3b2aTkRdPbcLlhh2pG5OFxiGyr9P/gsCAJXFTTb5HQa0KL53+Bomlac2Oj/CPwbJ+s+Ht4t7Kq6iXVV3c4r2b4gCK1BU4UnSZemk6KEozCSHkBvRkz9sgMGZ0UnGUexcwI6+5SmR4pMdE/Lv/XLPJzKXyXBwrSTG5Yup/aX/hw+QdRrdWqKyrxf8dWYszZRktXjtSfAWPHPtcXy25tbKrS8y2YQCyLGhH2gclNIQQcgMa4BOJj4Y+gG6egc2OByu8sXLAXfhy5GN4oPt4+DTp+QhT+OLRHpOw++aXsTB6rEVDL4eKLplcidXov6n78VvuaYOv/Zh1DLk1pQaTIh0XcaUiD7/nJZn9DFM8ZQqzbTgAzxtkd3VnRENOhBBygxrgE4mNIx7D5Yo85NeWwdvFHb2VYfoCeYu634z7uo1FobocMiaBn9zT6qq4WlFXf46ZjS0ZgC9TD2ByyIAWr/2SfdLkwBgDw7bsk5gaOtCq2JqK8wpBkKs38mrLjLZxEaQY3YW2OeioqIeGEEJuYIwxxHgFY3RAT/T17tqi2q9UkCBY4QN/V69WlfjvpQyzqEAfR/1y8sq6loUCS82syuLgKNFUWh1bUwIT8GjMJJNt7o26CR7UQ9NhUUJDCCHEbob5d0ewkZ23DTE0STlY4W10Pg8ACIwhROHbmvCamRTSH0t7z4SrUL+XlYTVD5ZJmID7uo3FA93Ht/kziP3QkBMhhBC7EZiAVQPuxgOHP4GGa022DXfzg6eBejbTw4bgnCrL6Hki51ZvjGnMjPAhmBjcD7vzziKvYRju5qA+8HHxsMn7E/uhHhpCCCF2FacMxZcjFsNFMP079LzIUQaHtW4NjUcfZbjBycUMDCP8Y2xaqdhNKsdtYYPwQPebcUfX4ZTMOAlKaAghhNhdlGcAPhryABQSl2aJSeOfp4bEY2b4EIPnughSfDjk75geNhiyJgUDXQUZ7oociTcG3kPF7ggYN7bw30mVl5dDqVRCpVLBy8t21TAJIYS0XV5NGb7LOIzf85JQq9Ogu2cQZndNwJiAnhZNOi6vq0FyeQ4YgJ7KMLhL5fYPmjhEW5/flNAQQgghpN219flNfXSEEEIIcXqU0BBCCCEdnE6nQ3lJBTTqtm3x0JnRsm1CCCGkgyovrsDXr2/F9s/+QJWqGoJEwOhZwzBv6Sx06xfR3uF1KDSHhhBCCOmASgtU+MeIF5GfXghRd63askQqQJBK8PqOf6LfTb3aMULbojk0hBBCSCf06bNftkhmAECnFaHTaLFi3rvQaXXtFF3HQwkNIYQQ0sFUlFZiz6Y/WyQzjUSRozinFEe2n3RwZB0XJTSEEEJIB5NzJQ/aOtO9LxKpgLSzmQ6KqOOjhIYQQgjpYORu5gsGiiKHXOHigGicg90SmrS0NNx///2IioqCQqFAdHQ0XnnlFWg0GpPncc6xbNkyhISEQKFQYOzYsTh37py9wiSEEEI6nK49QxEY2cVkG845Em63zaacnYHdEpqLFy9CFEV88sknOHfuHN555x2sWbMGS5cuNXneG2+8gdWrV+PDDz/EsWPHEBQUhAkTJqCiosJeoRJCCCEdiiAIuOel2cZflwgYM3sEQqKDHBhVx+bQZdtvvvkmPv74Y1y9etXg65xzhISEYMmSJXjuuecAAGq1GoGBgVi1ahUefPBBs59By7YJIYR0FptWbsW6lzbV73PF6ncX12l1GHbbILy4aQkU7q7tHaLNtPX57dDCeiqVCr6+vkZfT01NRV5eHiZOnKg/JpfLMWbMGBw8eNBgQqNWq6FWq/Xfl5eX2zZoQgghpJ3c9cJM3HzPaOxcvxe5qfnw9HbHuLtGIXZI9/YOrcNxWEKTkpKCDz74AG+//bbRNnl5eQCAwMDAZscDAwORnp5u8JyVK1fi1VdftV2ghBBCSAcSEO6Pe166o73D6PCsnkOzbNkyMMZMfh0/frzZOTk5OZg8eTJmz56NBx54wOxnXL+FPOfc6LbyL7zwAlQqlf4rM5OWsBFCCCE3Gqt7aBYvXoy5c+eabBMZGan/c05ODsaNG4eEhASsXbvW5HlBQfWTm/Ly8hAcHKw/XlBQ0KLXppFcLodcbn55GyGEEEI6L6sTGn9/f/j7+1vUNjs7G+PGjcOgQYOwbt06CILpDqGoqCgEBQVh165diI+PBwBoNBrs27cPq1atsjZUQgghhNwg7LZsOycnB2PHjkV4eDjeeustFBYWIi8vTz9PplFcXBy2bt0KoH6oacmSJVixYgW2bt2Ks2fPYuHChXBzc8O8efPsFSohhBBCnJzdJgXv3LkTV65cwZUrVxAWFtbstaYrxZOTk6FSqfTfP/vss6ipqcEjjzyC0tJSDBs2DDt37oSnp6e9QiWEEEKIk3NoHRpHoDo0hBBCiPNp6/Ob9nIihBBCiNOjhIYQQgghTo8SGkIIIYQ4PUpoCCGEEOL0KKEhhBBCiNNz6OaUhBBCSHupLKvCyd/PQF2tQWSfcPQY2K29QyI2RAkNIYSQTk2n1WHdPzdhy/vbUVdbpz/eY2AUnlm/GFF9urZjdMRWaMiJEEJIp/beI5/i2zd/bJbMAEDK6XQ8Mfol5KTkGTmTOBNKaAghhHRa6Rey8Otnf8BQCVlRJ6K2qhb/W7HF8YERm6OEhhBCSKf1+5f7IZEaf9TptCL+2HgAdZo6o22Ic6CEhhBCSKdVmldmto1Wo0V1eY39gyF2RQkNIYSQTssvxMfgcFNTLgoXuCvdHBMQsRtKaAghhHRaE+4dA1EnGn1dIhUwYf4YSGW06NfZUUJDCCGk0wqLCcGMx6YYfE2QCHBXumPe0pkOjorYAyU0hBBCOrWH31mIha/NhZunotnxPqPi8N7B5Qjo2qWdIiO2xDg3N7roXMrLy6FUKqFSqeDl5dXe4RBCCOkgaqvVSDpwAepqNSJ6hSE8NrS9QyJNtPX5TYOGhBBCbgiubnIMmTSgvcMgdkJDToQQQghxepTQEEIIIcTpUUJDCCGEEKdHCQ0hhBBCnB4lNIQQQghxepTQEEIIIcTpUUJDCCGEEKdHCQ0hhBBCnB4lNIQQQghxep2uUnDjTg7l5eXtHAkhhBBCLNX43G7tjkydLqGpqKgAAISHh7dzJIQQQgixVkVFBZRKpdXndbrNKUVRRE5ODjw9PcEYa7c4ysvLER4ejszMzE67SSZdY+dA19g50DV2DjfyNXLOUVFRgZCQEAiC9TNiOl0PjSAICAsLa+8w9Ly8vDrtP8pGdI2dA11j50DX2DncqNfYmp6ZRjQpmBBCCCFOjxIaQgghhDg9SmjsRC6X45VXXoFcLm/vUOyGrrFzoGvsHOgaOwe6xtbrdJOCCSGEEHLjoR4aQgghhDg9SmgIIYQQ4vQooSGEEEKI06OEhhBCCCFOjxIaQgghhDg9SmhsIC0tDffffz+ioqKgUCgQHR2NV155BRqNxuR5nHMsW7YMISEhUCgUGDt2LM6dO+egqK23fPlyjBgxAm5ubvD29rbonIULF4Ix1uxr+PDh9g20DVpzjc52H0tLSzF//nwolUoolUrMnz8fZWVlJs9xhvv40UcfISoqCq6urhg0aBAOHDhgsv2+ffswaNAguLq6olu3blizZo2DIm09a65x7969Le4ZYwwXL150YMSW279/P6ZNm4aQkBAwxvDDDz+YPcfZ7qG11+hs9xAAVq5ciSFDhsDT0xMBAQGYMWMGkpOTzZ5ni3tJCY0NXLx4EaIo4pNPPsG5c+fwzjvvYM2aNVi6dKnJ89544w2sXr0aH374IY4dO4agoCBMmDBBv8FmR6PRaDB79mw8/PDDVp03efJk5Obm6r+2b99upwjbrjXX6Gz3cd68eTh16hR27NiBHTt24NSpU5g/f77Z8zryffzmm2+wZMkSvPjii0hMTMTo0aMxZcoUZGRkGGyfmpqKW2+9FaNHj0ZiYiKWLl2Kxx9/HJs3b3Zw5Jaz9hobJScnN7tvPXr0cFDE1qmqqkL//v3x4YcfWtTeGe+htdfYyFnuIVCfmDz66KM4fPgwdu3aBa1Wi4kTJ6KqqsroOTa7l5zYxRtvvMGjoqKMvi6KIg8KCuKvv/66/lhtbS1XKpV8zZo1jgix1datW8eVSqVFbRcsWMCnT59u13jswdJrdLb7eP78eQ6AHz58WH/s0KFDHAC/ePGi0fM6+n0cOnQof+ihh5odi4uL488//7zB9s8++yyPi4trduzBBx/kw4cPt1uMbWXtNe7Zs4cD4KWlpQ6IzrYA8K1bt5ps44z3sClLrtGZ72GjgoICDoDv27fPaBtb3UvqobETlUoFX19fo6+npqYiLy8PEydO1B+Ty+UYM2YMDh486IgQHWbv3r0ICAhATEwMFi1ahIKCgvYOyWac7T4eOnQISqUSw4YN0x8bPnw4lEql2Xg76n3UaDQ4ceJEs3sAABMnTjR6TYcOHWrRftKkSTh+/Djq6ursFmtrteYaG8XHxyM4OBg333wz9uzZY88wHcrZ7mFbOPM9VKlUAGDyeWire0kJjR2kpKTggw8+wEMPPWS0TV5eHgAgMDCw2fHAwED9a53BlClTsHHjRuzevRtvv/02jh07hvHjx0OtVrd3aDbhbPcxLy8PAQEBLY4HBASYjLcj38eioiLodDqr7kFeXp7B9lqtFkVFRXaLtbVac43BwcFYu3YtNm/ejC1btiA2NhY333wz9u/f74iQ7c7Z7mFrOPs95JzjySefxKhRo9CnTx+j7Wx1LymhMWHZsmUGJ2Q1/Tp+/Hizc3JycjB58mTMnj0bDzzwgNnPYIw1+55z3uKYPbXmGq0xZ84cTJ06FX369MG0adPw66+/4tKlS9i2bZsNr8I0e18j4Fz30VBc5uLtCPfRHGvvgaH2ho53JNZcY2xsLBYtWoSBAwciISEBH330EaZOnYq33nrLEaE6hDPeQ2s4+z1cvHgxzpw5g02bNplta4t7KbUuvBvL4sWLMXfuXJNtIiMj9X/OycnBuHHjkJCQgLVr15o8LygoCEB9ZhocHKw/XlBQ0CJTtSdrr7GtgoODERERgcuXL9vsPc2x5zU62308c+YM8vPzW7xWWFhoVbztcR+N8ff3h0QiadFTYeoeBAUFGWwvlUrh5+dnt1hbqzXXaMjw4cPx1Vdf2Tq8duFs99BWnOUePvbYY/jpp5+wf/9+hIWFmWxrq3tJCY0J/v7+8Pf3t6htdnY2xo0bh0GDBmHdunUQBNOdX1FRUQgKCsKuXbsQHx8PoH6cfN++fVi1alWbY7eUNddoC8XFxcjMzGz28Lc3e16js93HhIQEqFQqHD16FEOHDgUAHDlyBCqVCiNGjLD489rjPhrj4uKCQYMGYdeuXZg5c6b++K5duzB9+nSD5yQkJODnn39udmznzp0YPHgwZDKZXeNtjdZcoyGJiYkd4p7ZgrPdQ1vp6PeQc47HHnsMW7duxd69exEVFWX2HJvdS6umEBODsrOzeffu3fn48eN5VlYWz83N1X81FRsby7ds2aL//vXXX+dKpZJv2bKFJyUl8bvuuosHBwfz8vJyR1+CRdLT03liYiJ/9dVXuYeHB09MTOSJiYm8oqJC36bpNVZUVPCnnnqKHzx4kKempvI9e/bwhIQEHhoa2mmukXPnu4+TJ0/m/fr144cOHeKHDh3iffv25bfddluzNs52H7/++msuk8n4559/zs+fP8+XLFnC3d3deVpaGuec8+eff57Pnz9f3/7q1avczc2NP/HEE/z8+fP8888/5zKZjH///fftdQlmWXuN77zzDt+6dSu/dOkSP3v2LH/++ec5AL558+b2ugSTKioq9P+9AeCrV6/miYmJPD09nXPeOe6htdfobPeQc84ffvhhrlQq+d69e5s9C6urq/Vt7HUvKaGxgXXr1nEABr+aAsDXrVun/14URf7KK6/woKAgLpfL+U033cSTkpIcHL3lFixYYPAa9+zZo2/T9Bqrq6v5xIkTeZcuXbhMJuNdu3blCxYs4BkZGe1zARaw9ho5d777WFxczO+++27u6enJPT09+d13391iWagz3sf//Oc/PCIigru4uPCBAwc2Wya6YMECPmbMmGbt9+7dy+Pj47mLiwuPjIzkH3/8sYMjtp4117hq1SoeHR3NXV1duY+PDx81ahTftm1bO0RtmcYlytd/LViwgHPeOe6htdfobPeQc270Wdj0Z6a97iVrCIAQQgghxGnRKidCCCGEOD1KaAghhBDi9CihIYQQQojTo4SGEEIIIU6PEhpCCCGEOD1KaAghhBDi9CihIYQQQojTo4SGEEIIIU6PEhpCCCGEOD1KaAghhBDi9CihIYQQQojT+3+Gln1oemIjFAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.cluster import DBSCAN\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成虚拟数据\n",
    "from sklearn.datasets import make_blobs\n",
    "X, _ = make_blobs(n_samples=300, centers=3, cluster_std=0.60, random_state=0)\n",
    "\n",
    "# 数据标准化\n",
    "scaler = StandardScaler()\n",
    "X_scaled = scaler.fit_transform(X)\n",
    "\n",
    "# DBSCAN 聚类\n",
    "dbscan = DBSCAN(eps=0.3, min_samples=5)\n",
    "y_db = dbscan.fit_predict(X_scaled)\n",
    "\n",
    "# 可视化聚类结果\n",
    "plt.scatter(X_scaled[:, 0], X_scaled[:, 1], c=y_db, cmap='viridis')\n",
    "plt.title('DBSCAN Clustering')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8aa6f098-177b-494b-8654-7630c09a296e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "# 假设 MovieLens 数据集的文件名是 'movies.csv' 和 'ratings.csv'\n",
    "movies = pd.read_csv('D:\\Anaconda3\\movies.csv')\n",
    "ratings = pd.read_csv('D:\\Anaconda3\\ratings.csv')\n",
    "\n",
    "# 查看数据集的前几行\n",
    "print(movies.head())\n",
    "print(ratings.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "51f238ed-8fb2-49e4-9cb9-30e55148e1f0",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 计算电影的用户平均评分\n",
    "movie_avg_ratings = ratings.groupby('movieId')['rating'].mean()\n",
    "\n",
    "# 处理异常值：假设评分大于 5 或小于 1 为异常\n",
    "filtered_ratings = ratings[(ratings['rating'] >= 1) & (ratings['rating'] <= 5)]\n",
    "\n",
    "# 计算过滤后的电影平均评分\n",
    "filtered_movie_avg_ratings = filtered_ratings.groupby('movieId')['rating'].mean()\n",
    "\n",
    "# 合并电影类型信息\n",
    "movies_ratings = pd.merge(movies, filtered_movie_avg_ratings, on='movieId')\n",
    "print(movies_ratings[['movieId', 'title', 'rating']].head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ab52b149-b021-4753-9a33-e71df421f931",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 获取用户评分数据\n",
    "user_ratings = ratings.pivot_table(index='userId', columns='movieId', values='rating').fillna(0)\n",
    "\n",
    "# 数据标准化\n",
    "user_ratings_scaled = StandardScaler().fit_transform(user_ratings)\n",
    "\n",
    "# 使用 DBSCAN 进行用户聚类\n",
    "dbscan_user = DBSCAN(eps=0.5, min_samples=5)\n",
    "user_clusters = dbscan_user.fit_predict(user_ratings_scaled)\n",
    "\n",
    "# 将聚类结果添加到用户评分数据中\n",
    "user_ratings['cluster'] = user_clusters\n",
    "print(user_ratings.head())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5056d1e1-0940-44bc-b4ef-5211c480bf9e",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neighbors import NearestNeighbors\n",
    "\n",
    "# 找到最大族\n",
    "max_cluster = user_ratings['cluster'].value_counts().idxmax()\n",
    "max_cluster_users = user_ratings[user_ratings['cluster'] == max_cluster]\n",
    "\n",
    "# 使用最大族的用户数据\n",
    "max_cluster_ratings = ratings[ratings['userId'].isin(max_cluster_users.index)]\n",
    "\n",
    "# 使用基于用户的协同过滤：寻找最相似的用户\n",
    "user_knn = NearestNeighbors(n_neighbors=5, metric='cosine')\n",
    "user_knn.fit(user_ratings_scaled)\n",
    "\n",
    "# 选择一个用户进行电影评分预测\n",
    "user_id = 1  # 假设我们选择用户ID为1的用户\n",
    "distances, indices = user_knn.kneighbors(user_ratings_scaled[user_id-1].reshape(1, -1))\n",
    "\n",
    "# 基于邻居用户的评分来预测电影评分\n",
    "neighbors_ratings = ratings[ratings['userId'].isin(user_ratings.index[indices.flatten()])]\n",
    "predicted_ratings = neighbors_ratings.groupby('movieId')['rating'].mean()\n",
    "\n",
    "print(predicted_ratings.head())"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
